The generator matrix

 1  0  1  1  1 14  4  1  1  2  1  1  1
 0  1 11 14  5  1  0  4  6 14  3  3  3
 0  0 12  4  0  4  4  4  0  4  0  0  0
 0  0  0  8  0  0  0  0  0  8  0  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  0  8  8  8  0  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+16x^7+203x^8+416x^9+2052x^10+5488x^11+15108x^12+18880x^13+15128x^14+5488x^15+2067x^16+416x^17+188x^18+16x^19+28x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=104, k=16 and d=24.
This code was found by Heurico 1.16 in 9.4 seconds.