The generator matrix

 1  1  1  1  1  1  1  1  4  4
 0  2  0  6  4 12 14  2 12 12
 0  0 12  0  4  8  4  4  0  8
 0  0  0  8  8  8  0  8  0  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+226x^8+576x^10+216x^12+5x^16

The gray image is a code over GF(2) with n=80, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0237 seconds.