The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^11+245x^12+756x^13+1504x^14+3508x^15+4181x^16+3528x^17+1520x^18+760x^19+210x^20+68x^21+16x^22+4x^23+2x^24+1x^28

The gray image is a code over GF(2) with n=128, k=14 and d=44.
This code was found by Heurico 1.16 in 2.19 seconds.