The generator matrix

 1  0  1  1  1 14  1  1  1  6  1  2  1
 0  1 11 14  5  1  8  6  3  1  8  8  0
 0  0 12  4  0  4  4  0  8  0  4  4  0
 0  0  0  8  0  0  8  8  0  0  0  8  0
 0  0  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+51x^8+24x^9+206x^10+704x^11+1665x^12+2896x^13+1662x^14+704x^15+200x^16+24x^17+50x^18+3x^20+2x^22

The gray image is a code over GF(2) with n=104, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0487 seconds.