The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+12x^10+93x^12+128x^14+512x^15+265x^16+2048x^17+296x^18+512x^19+146x^20+64x^22+6x^24+12x^26+1x^28

The gray image is a code over GF(2) with n=136, k=12 and d=40.
This code was found by Heurico 1.16 in 0.036 seconds.