The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  2  1  1
 0  2  0  6  0  6  0 14  4  6 10  4 14 14  0
 0  0 12  0  0  4 12 12  8  0  8  4  0 12  0
 0  0  0 12 12  4  4  8  4  0  8  0 12  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  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+34x^10+28x^11+186x^12+288x^13+686x^14+1672x^15+673x^16+288x^17+158x^18+28x^19+50x^20+2x^22+2x^24

The gray image is a code over GF(2) with n=120, k=12 and d=40.
This code was found by Heurico 1.16 in 0.0401 seconds.