The generator matrix

 1  1  1  1  2  0  4  1  1  1  1  1  1
 0  2  0 14  6  2  0  4 12  6 14  0  0
 0  0 12  4  0 12  4  4  0  0  4  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  0  0  8  8  0  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+25x^6+145x^8+96x^9+546x^10+1408x^11+3378x^12+5184x^13+3380x^14+1408x^15+549x^16+96x^17+142x^18+22x^20+3x^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 0.112 seconds.