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.