The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2
 0  8  0  0  0  0  0  0  0  0  8  8  0  0  8  8  8
 0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  8  8
 0  0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+76x^12+40x^14+165x^16+1536x^17+80x^18+108x^20+8x^22+34x^24

The gray image is a code over GF(2) with n=136, k=11 and d=48.
This code was found by Heurico 1.16 in 0.0663 seconds.