The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+184x^11+493x^12+1294x^13+3160x^14+6108x^15+10122x^16+6358x^17+3160x^18+1280x^19+423x^20+122x^21+48x^22+12x^23+1x^24+2x^25

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 2.46 seconds.