The generator matrix

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

generates a code of length 12 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+12x^10+32x^11+166x^12+32x^13+11x^14+1x^16+1x^22

The gray image is a code over GF(2) with n=96, k=8 and d=40.
This code was found by Heurico 1.16 in 0.00134 seconds.