The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4
 0 12  0  0  0  0  0  8  8  4  4 12  4 12  8  4
 0  0 12  0  0  8 12  4 12  4 12  0  4  4  8  4
 0  0  0 12  0 12 12  4  0  0  8  8  4 12  8  0
 0  0  0  0 12  4  8 12 12  8 12  8  4  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^11+81x^12+96x^13+184x^14+896x^15+1517x^16+880x^17+192x^18+88x^19+62x^20+48x^21+8x^22+2x^24+1x^28

The gray image is a code over GF(2) with n=128, k=12 and d=44.
This code was found by Heurico 1.16 in 0.353 seconds.