The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^12+141x^16+768x^17+62x^20+18x^24+1x^28

The gray image is a code over GF(2) with n=136, k=10 and d=48.
This code was found by Heurico 1.16 in 0.00546 seconds.