The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^6+26x^7+163x^8+174x^9+600x^10+482x^11+4316x^12+4774x^13+4318x^14+494x^15+603x^16+170x^17+160x^18+22x^19+36x^20+2x^21+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 0.149 seconds.