The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  0  1  1  0  1
 0  1 11  6  5  1  0  3  1 14  9  1 11  8  1  8
 0  0 12  0  0  4  4 12  8 12  8 12  0  0  0  4
 0  0  0 12  0  4  4 12 12  8  0  4  4  4  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+36x^10+72x^11+311x^12+592x^13+2906x^14+7512x^15+9875x^16+7552x^17+2914x^18+600x^19+304x^20+48x^21+30x^22+8x^23+4x^24+2x^26+1x^28

The gray image is a code over GF(2) with n=128, k=15 and d=40.
This code was found by Heurico 1.16 in 1.17 seconds.