The generator matrix

 1  1  1  1  1  1  1  1  2  4  2  2
 0 12  0  0  0  0  8  4 12  4  8  8
 0  0 12  0  0  8  4  0  4 12  0  8
 0  0  0 12  0 12 12  4  8 12  4 12
 0  0  0  0 12  4  0  8  4 12  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+92x^8+160x^9+236x^10+768x^11+1382x^12+1088x^13+264x^14+59x^16+32x^17+12x^18+2x^20

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.11 seconds.