The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^6+58x^7+307x^8+334x^9+703x^10+1474x^11+3001x^12+20838x^13+2991x^14+1486x^15+704x^16+330x^17+309x^18+54x^19+83x^20+2x^21+5x^22

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 0.635 seconds.