The generator matrix

 1  1  1  1  1  1  2  0  1  1  1  1  1  1  2  1
 0  2  0  6  0 14 14  2 12  0  8  6  6 10  0  0
 0  0 12  0  0  0  4 12 12  8  8  0 12  4  0  0
 0  0  0 12  0  0  4  8  4 12  4  4 12  8  4  0
 0  0  0  0 12  4  4  4  8  4  0 12  0 12  4  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+42x^10+100x^11+270x^12+352x^13+1158x^14+3104x^15+6269x^16+3184x^17+1184x^18+340x^19+238x^20+80x^21+46x^22+8x^23+6x^24+2x^26

The gray image is a code over GF(2) with n=128, k=14 and d=40.
This code was found by Heurico 1.16 in 0.551 seconds.