The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^6+139x^8+192x^9+580x^10+640x^11+1284x^12+10624x^13+1304x^14+640x^15+595x^16+192x^17+124x^18+28x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=104, k=14 and d=24.
This code was found by Heurico 1.16 in 0.651 seconds.