The generator matrix

 1  0  0  0  1  1  1  2 12  1  1  1
 0  1  0  0  4  1  5  1 10  7  3  8
 0  0  1  0  5  3  6  7  0 10  4 12
 0  0  0  1  1  2  3  5  1 13  4  8

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

Homogenous weight enumerator: w(x)=1x^0+199x^8+1296x^9+4928x^10+14512x^11+23554x^12+14720x^13+4893x^14+1200x^15+214x^16+16x^17+2x^18+1x^22

The gray image is a code over GF(2) with n=96, k=16 and d=32.
This code was found by Heurico 1.16 in 3.94 seconds.