The generator matrix

 1  0  1  1  1 12  1  1  6  2  2  0
 0  1  1 12 11  1  2 15  1  0  2  0
 0  0  2  6  4  6  2  6  0  6  2  2
 0  0  0  8  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  8  8  8  8  0  8
 0  0  0  0  0  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+79x^8+480x^9+1558x^10+3360x^11+5439x^12+3360x^13+1540x^14+480x^15+80x^16+6x^18+1x^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 0.254 seconds.