The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  4  1  2  1
 0  2  0  0  0  6  2  2  4 12  2  8  6  4  8
 0  0  2  0  2  6  6  4  6  4 14  4 10  2  8
 0  0  0  2  2  0  2  6  4 14 12  2  8  0  0
 0  0  0  0  8  8  8  0  8  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+79x^10+170x^11+623x^12+1318x^13+3645x^14+4676x^15+3686x^16+1388x^17+561x^18+114x^19+105x^20+14x^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 0.508 seconds.