The generator matrix

 1  0  0  1  1  1 14  1  1  2  1 14  1  6  1  1
 0  1  0  1  6 15  1  1 12  1 13  1 14  1  6  1
 0  0  1  1 11  2  3  1  2  1  2  0 10  3  1  1
 0  0  0 12  0  0  0  0  4 12  8 12  4  8  4  4
 0  0  0  0 12  4  4  8  0  4  8  0 12  0  8 12

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

Homogenous weight enumerator: w(x)=1x^0+104x^11+527x^12+1778x^13+6105x^14+13894x^15+20561x^16+14182x^17+6058x^18+1692x^19+511x^20+86x^21+29x^22+6x^23+2x^25

The gray image is a code over GF(2) with n=128, k=16 and d=44.
This code was found by Heurico 1.16 in 4.92 seconds.