The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  1
 0  2  0  6  0  6 12 14  6  6  8  8
 0  0 12  0  0  4 12  4  0  0  8  0
 0  0  0 12 12  4 12  0  0  0 12  4
 0  0  0  0  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  8  0  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+79x^6+48x^7+348x^8+624x^9+2474x^10+3424x^11+18762x^12+3424x^13+2496x^14+624x^15+339x^16+48x^17+70x^18+6x^20+1x^22

The gray image is a code over GF(2) with n=96, k=15 and d=24.
This code was found by Heurico 1.16 in 2.5 seconds.