The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  1  1
 0  1  3  6  5  1 12  3  1  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  8  0  8
 0  0  0  8  0  0  0  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  0  8  0  8  0  8  8
 0  0  0  0  0  0  0  0  8  8  8  0  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+26x^6+16x^7+147x^8+96x^9+604x^10+1776x^11+6892x^12+13632x^13+6912x^14+1776x^15+619x^16+96x^17+132x^18+16x^19+20x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=104, k=15 and d=24.
This code was found by Heurico 1.16 in 0.325 seconds.