The generator matrix

 1  0  0  1  1  1  6  1  1  2  6  1  2  1  1
 0  1  0  1  6  7  1  0  1  1  1  4  1  6  0
 0  0  1  1  3  2  3  6  7  2  0  2  7  0  0
 0  0  0  8  0  0  8  0  0  8  0  8  8  8  0
 0  0  0  0  8  0  8  8  0  0  0  8  0  8  0
 0  0  0  0  0  8  8  0  0  0  8  0  8  8  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+102x^10+174x^11+1307x^12+2734x^13+6528x^14+11068x^15+6534x^16+2764x^17+1294x^18+150x^19+93x^20+6x^21+12x^22+1x^24

The gray image is a code over GF(2) with n=120, k=15 and d=40.
This code was found by Heurico 1.16 in 0.931 seconds.