The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+9x^10+34x^11+173x^12+28x^13+6x^14+2x^15+2x^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 0.00108 seconds.