The generator matrix

 1  0  0  0  1  1  1 3X  1  1  1  1
 0  1  0  0 2X+2 2X+3  1  1  X  1 X+3 X+2
 0  0  1  0 2X+3  1  X 3X+3  1 3X+2 3X+1  X
 0  0  0  1  1  X X+1 3X+3  0 2X+2 3X+1 2X+3
 0  0  0  0 2X  0 2X  0 2X  0 2X  0

generates a code of length 12 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+334x^8+2688x^9+9272x^10+31712x^11+42784x^12+32224x^13+9184x^14+2464x^15+369x^16+32x^17+8x^18

The gray image is a code over GF(2) with n=96, k=17 and d=32.
This code was found by Heurico 1.16 in 13.4 seconds.