The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  1  1  2
 0  2  0  2  0 10 12 14 10  6  4 14  8  6  4
 0  0  2  2 12 14  6  4  6  0  2  4  2  0  2
 0  0  0  8  0  0  0  8  0  0  8  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8
 0  0  0  0  0  8  0  8  8  0  0  0  0  8  8
 0  0  0  0  0  0  8  0  8  8  0  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+101x^10+144x^11+883x^12+960x^13+3617x^14+4960x^15+3640x^16+960x^17+879x^18+144x^19+81x^20+11x^22+3x^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 0.524 seconds.