The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+9x^8+60x^9+53x^10+68x^11+646x^12+68x^13+42x^14+60x^15+16x^16+1x^18

The gray image is a code over GF(2) with n=96, k=10 and d=32.
This code was found by Heurico 1.16 in 0.00421 seconds.