The generator matrix
1 0 1 1 1 0 1 1 2 0 X 1
0 1 1 0 1 1 X+1 3 1 1 X 0
0 0 X 0 0 0 0 X X X+2 2 0
0 0 0 X 0 X+2 X X X 2 X+2 0
0 0 0 0 X 0 X 2 X X 2 0
0 0 0 0 0 2 0 2 0 0 2 0
0 0 0 0 0 0 2 0 0 2 2 0
generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+105x^6+80x^7+302x^8+1168x^9+1636x^10+2848x^11+4140x^12+2848x^13+1534x^14+1168x^15+409x^16+80x^17+52x^18+12x^20+1x^22
The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 0.319 seconds.