The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+77x^8+32x^10+468x^12+608x^14+5195x^16+4096x^17+4320x^18+1232x^20+160x^22+167x^24+28x^28

The gray image is a code over GF(2) with n=136, k=14 and d=32.
This code was found by Heurico 1.16 in 0.224 seconds.