The generator matrix

 1  0  0  1  1  1  6  1  2  1 14 10  1  1  1 12
 0  1  0  1  6  7  1 11  6 10  1  1 14  7 15  1
 0  0  1  1  3  2  3  0  1  2  5  6  3  7  4  2
 0  0  0 12  0  0  8  4  4  4  4  8 12  0  4 12
 0  0  0  0  8  0  8  8  0  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+80x^11+478x^12+1872x^13+6061x^14+14496x^15+19631x^16+14304x^17+6200x^18+1936x^19+370x^20+80x^21+26x^22+1x^30

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 24.1 seconds.