The generator matrix

 1  0  1  1  1 12  1  1  2  2  1  1  8  6  4  1
 0  1  1 12 11  1  2 15  0  1  2  5  1  1  1  0
 0  0  2  6  4  6  2  6  6  4  4  0  4  0  2  0
 0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  0  8  8  8  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  0  8  0  8
 0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^10+66x^11+316x^12+754x^13+3658x^14+5838x^15+11477x^16+5838x^17+3664x^18+750x^19+300x^20+62x^21+22x^22+2x^23+2x^24+2x^25+1x^26

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 1.09 seconds.