The generator matrix

 1  1  1  1  1  1  2  0  1  1  1  8  1  0  4  4
 0  2  0  6  0  6  6  2  6 14 12  2  0  2  0  4
 0  0 12  0  0  4  0  4  8 12 12  4 12  4  4  4
 0  0  0 12 12  4  0 12  8  0  4  8 12 12  4  0
 0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8
 0  0  0  0  0  8  8  8  8  8  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+64x^11+144x^12+474x^13+831x^14+1514x^15+2139x^16+1508x^17+853x^18+468x^19+116x^20+66x^21+9x^22+2x^23+3x^26

The gray image is a code over GF(2) with n=128, k=13 and d=44.
This code was found by Heurico 1.16 in 0.277 seconds.