The generator matrix

 1  0  1  1  1 12  1  1  1 12  1  1
 0  1  1  0 11  1  6 12  3  1  6  0
 0  0  2  0  8 10  2 10 12 12  0  8
 0  0  0  2 12 12  2  4  4  2 14  8

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

Homogenous weight enumerator: w(x)=1x^0+76x^8+368x^9+1108x^10+3200x^11+6838x^12+3264x^13+1128x^14+320x^15+59x^16+16x^17+4x^18+2x^20

The gray image is a code over GF(2) with n=96, k=14 and d=32.
This code was found by Heurico 1.16 in 0.31 seconds.