The generator matrix

 1  0  0  0  1  1  1  6  1  1
 0  1  0  0  4  5  7  1  2  0
 0  0  1  0  5  1  2  3  6  2
 0  0  0  1  1  2  3  3  4  7
 0  0  0  0  8  0  0  0  8  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+203x^6+1792x^7+7990x^8+30480x^9+50147x^10+30448x^11+8040x^12+1776x^13+177x^14+16x^15+1x^16+1x^18

The gray image is a code over GF(2) with n=80, k=17 and d=24.
This code was found by Heurico 1.16 in 9.25 seconds.