The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+27x^6+86x^8+180x^10+366x^12+615x^14+2826x^16+24576x^17+2816x^18+604x^20+377x^22+190x^24+76x^26+22x^28+5x^30+1x^32

The gray image is a code over GF(2) with n=136, k=15 and d=24.
This code was found by Heurico 1.16 in 0.801 seconds.