The generator matrix

 1  1  1  1  1  1  2  1  1  4  2  2  2  2  2
 0 12  0 12  0 12 12  8  4 12 12 12  0  0  0
 0  0  8  0  0  0  0  8  0  0  8  8  0  8  0
 0  0  0  8  0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  8  0  0  8  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+39x^10+134x^12+602x^14+512x^15+591x^16+120x^18+42x^20+6x^22+1x^26

The gray image is a code over GF(2) with n=120, k=11 and d=40.
This code was found by Heurico 1.16 in 0.0165 seconds.