The generator matrix

 1  1  1  1  1  2  0  8  1  2  8  2  1
 0  2  0  2  0  2  2  4  2 10  2  6  8
 0  0  2  2  0  6  4  2  2  2  4  0  0
 0  0  0  4 12  0 12  8  8  4  0  8  4
 0  0  0  0  8  0  8  8  0  0  8  0  0
 0  0  0  0  0  8  8  8  0  8  0  0  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+52x^8+178x^9+607x^10+1490x^11+3678x^12+4372x^13+3707x^14+1444x^15+619x^16+186x^17+37x^18+10x^19+2x^20+1x^22

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 0.301 seconds.