The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^11+314x^12+594x^13+1573x^14+3330x^15+4652x^16+3340x^17+1634x^18+556x^19+248x^20+66x^21+25x^22+2x^23+1x^24

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 0.674 seconds.