The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^11+260x^12+1140x^13+2595x^14+7474x^15+9659x^16+7464x^17+2580x^18+1166x^19+256x^20+68x^21+8x^22+6x^23+1x^30

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 1.57 seconds.