The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  8
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  0  8
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+34x^10+68x^12+68x^14+85x^16+3584x^17+85x^18+68x^20+68x^22+34x^24+1x^34

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 6.5 seconds.