The generator matrix

 1  0  1  1  1  4  1  6  2  1  2  1  1  4  0  1
 0  1  1  0 11  1 10  1 10  6  1  6  1  1  1  9
 0  0  2  6  4  6  6  4  2  4  2  6 14 14  4  6
 0  0  0 12  0  4  8 12 12  4  0  8  4  4 12  8
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+98x^11+286x^12+980x^13+3006x^14+6622x^15+10815x^16+6552x^17+3046x^18+1022x^19+226x^20+84x^21+26x^22+2x^23+2x^26

The gray image is a code over GF(2) with n=128, k=15 and d=44.
This code was found by Heurico 1.16 in 38.1 seconds.