The generator matrix
1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 1 X 0 X X 0 0 1 1 1 1 1 X 1 1 1 0 0 X X 1 X 1 X 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 X 1 0 1 1 0 1 X 0 X 1 1 1 1 0 0 1 X 1 1 1 X X 1 1 1 1 1 1 1 X X 0 0 1 0 X 1
0 1 0 0 1 1 1 0 0 1 X+1 1 1 0 X X+1 X X+1 1 0 1 0 1 1 X X+1 0 1 1 1 X+1 0 X 1 1 0 1 X+1 1 X 1 X X+1 X+1 X X 1 X 0 X+1 X+1 X X 1 0 0 X X+1 1 X+1 0 0 X+1 1 0 1 0 X 0 1 X X X+1 1 1 1 X 1 1 X 1 1 X+1 1 X+1 0 1 X 1 1 1 1 X 0
0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 1 X+1 0 X X 1 X+1 1 0 X+1 X+1 X 0 X+1 0 X+1 X+1 0 X+1 X+1 X 1 X+1 X+1 1 0 0 X+1 0 0 1 X+1 X 1 0 X+1 X+1 1 X+1 X X 1 1 X+1 1 X X+1 1 0 0 1 1 X 1 X+1 X 1 1 X+1 X X X X+1 X X+1 0 X 1 X+1 1 1 0 0 1 X X+1 X+1 1 1 0
0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 0 X X 0 X 0 X 0 0 0 0 X 0 X 0 X X X X X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X 0 0 X 0 0 X 0 X X 0 0 0 X X X X X X X 0 0 0 0
0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X X X X X 0 X X 0 X 0 0 X 0 X 0 X 0 X X X 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 X 0 X X 0 X X X 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 X 0 0 X 0 0 X 0 0 X 0
0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X 0 X X X X 0 X X X 0 0 0 0 0 0 X 0 X 0 0 X X X X 0 X X 0 X 0 X X 0 X 0 0 0 0 0 X X 0 X 0 X 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X 0 X 0 0 X X 0 X X X X X 0 X X 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X 0 0 0 X X X X X X X X X X X X X X 0 X X 0 X 0 X X X X 0 0 X X 0 X 0 X X X X 0 0 0 0 0 0 X X X 0 0 X X 0 0 X 0
0 0 0 0 0 0 0 X 0 0 0 X X X X X X X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 X X X X X 0 X X X X 0 X X 0 X X 0 0 0 0 X X X 0 0 X 0 0 0 X 0 0 X 0 0 X X 0 0 0 X 0 0 0 0 X 0 X X 0 0 X X 0 0 0 0 X X X X X
0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 0 0 X 0 X X X X X 0 0 0 0 X 0 X X 0 X X 0 0 X 0 0 X X 0 X X X 0 X 0 X X 0 X 0 0 X 0 X X X 0 0 X 0 0 X 0 0 X 0 X X 0 0 0 X 0 0 0 X X X X 0 0 0 0 X 0 0 0 X 0
generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.
Homogenous weight enumerator: w(x)=1x^0+45x^82+54x^83+131x^84+144x^85+190x^86+218x^87+215x^88+244x^89+208x^90+216x^91+188x^92+198x^93+209x^94+220x^95+190x^96+202x^97+166x^98+144x^99+154x^100+148x^101+124x^102+114x^103+91x^104+64x^105+48x^106+48x^107+36x^108+22x^109+14x^110+8x^111+13x^112+2x^113+13x^114+2x^115+3x^116+6x^118+2x^120+1x^126
The gray image is a linear code over GF(2) with n=188, k=12 and d=82.
This code was found by Heurico 1.16 in 4.36 seconds.