The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+90x^7+880x^8+4590x^9+20285x^10+57764x^11+94844x^12+57852x^13+20375x^14+4514x^15+819x^16+118x^17+11x^18+1x^22

The gray image is a code over GF(2) with n=96, k=18 and d=28.
This code was found by Heurico 1.16 in 40.2 seconds.