The generator matrix

 1  0  1  1  1 14  1  1  8  1  8  6  1  8  8
 0  1 11  6  1  1  3  8  1  3  1  1  5  2  1
 0  0 12  0  0  0  0  4  4 12  8 12  8  4  0
 0  0  0 12  0  4  4  4 12  4  4  8  0  4  0
 0  0  0  0  4  8 12  4  4  8  0 12  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+52x^10+142x^11+356x^12+1540x^13+3207x^14+5844x^15+3096x^16+1568x^17+418x^18+110x^19+34x^20+12x^21+3x^22+1x^24

The gray image is a code over GF(2) with n=120, k=14 and d=40.
This code was found by Heurico 1.16 in 0.407 seconds.