The generator matrix

 1  0  0  1  1  1  2  8  1  1  2  1
 0  1  0  1  2  3  1  1 12 11  6  0
 0  0  1  1  1  4  7  2  0  0 14  4
 0  0  0  2  8 10  6  6  6  4  2  4

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

Homogenous weight enumerator: w(x)=1x^0+124x^8+760x^9+2588x^10+7280x^11+11236x^12+7360x^13+2544x^14+720x^15+143x^16+8x^17+4x^18

The gray image is a code over GF(2) with n=96, k=15 and d=32.
This code was found by Heurico 1.16 in 1.16 seconds.