The generator matrix

 1  1  1  1  2  0  4  1  1  2  1  1  1
 0  2  0 14  6  2  0  4 12  4  6  6  6
 0  0 12  4  0 12  4  4  0  4  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8
 0  0  0  0  8  0  0  0  0  0  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  8  8  0  8
 0  0  0  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  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+34x^6+16x^7+139x^8+288x^9+1220x^10+2416x^11+7812x^12+8896x^13+7832x^14+2416x^15+1235x^16+288x^17+124x^18+16x^19+28x^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 2.07 seconds.