The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  1  4  1  6  1
 0  1  0  0  4  5  1  1  2  2  1  6  1  4  1  4
 0  0  1  0  5  1  4  3  2  4  3 15 11 11 10  2
 0  0  0  1  1  2  3  1  1  5  7 10 12 13  1  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  0  8  0

generates a code of length 16 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+74x^11+1008x^12+3896x^13+11855x^14+30414x^15+36435x^16+30624x^17+11955x^18+3718x^19+940x^20+136x^21+13x^22+2x^23+1x^26

The gray image is a code over GF(2) with n=128, k=17 and d=44.
This code was found by Heurico 1.16 in 21.4 seconds.