The generator matrix

 1  1  1  1  1  1  2  2  2  1  1  0  1 12  1
 0  2  0  2  0  0  8  2 14 14 14  4  0  2  2
 0  0  2  2  0 14 14  6  0  0  2  2  6 14 10
 0  0  0  4  0  0  0 12  4  8  0 12  4  4  8
 0  0  0  0 12  4  8  8  0  4  8  8 12 12 12
 0  0  0  0  0  8  8  8  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+211x^10+316x^11+1293x^12+2948x^13+7128x^14+8824x^15+7332x^16+2984x^17+1256x^18+268x^19+171x^20+20x^21+12x^22+3x^24+1x^26

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 2.23 seconds.