The generator matrix

 1  0  0  1  1  1 10  1  1  1 10  1 14  1  6  1
 0  1  0  1  2  7  1 13 12  8  1  1  1  5  1  0
 0  0  1  1  1  2  1  3  0  5  1  4  6  7  0  0
 0  0  0  2  0  8  4  4  6 10 10  6 10 10  0  0
 0  0  0  0  8  8  8  0  0  8  8  8  0  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+174x^11+607x^12+2296x^13+6236x^14+13850x^15+19087x^16+14064x^17+6232x^18+2194x^19+592x^20+184x^21+12x^22+6x^23+1x^28

The gray image is a code over GF(2) with n=128, k=16 and d=44.
This code was found by Heurico 1.16 in 4.83 seconds.