The generator matrix

 1  0  1  1  1 12  1  1 10  1  6  1  2  1  1  1
 0  1  1 12 11  1  2  7  1 10  1  5  2  6  0  8
 0  0  2  6  4  6  2  2  6  6  0  0  2  0  8  4
 0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0
 0  0  0  0  8  0  8  8  8  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  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+24x^11+171x^12+424x^13+1768x^14+2880x^15+5847x^16+2880x^17+1792x^18+424x^19+124x^20+24x^21+24x^22+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 0.443 seconds.