The generator matrix

 1  1  1  1  1  1  1  1  2  8  4  0  8 12  1  2
 0  2  0  0  0  2  6  2  8  0  2  2  4  2 10  6
 0  0  2  0  2  2  2  4  2  2  4  4  0  6  8 12
 0  0  0  2  2  0  2  6  6  4  6  4  2  8 10  4
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8
 0  0  0  0  0  8  8  0  0  8  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+148x^11+606x^12+1572x^13+3213x^14+6472x^15+8719x^16+6472x^17+3288x^18+1572x^19+530x^20+148x^21+26x^22+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 2.7 seconds.