The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^10+34x^11+39x^12+44x^13+1x^14+2x^15+1x^18

The gray image is a code over GF(2) with n=96, k=7 and d=40.
This code was found by Heurico 1.16 in 0.001 seconds.