The generator matrix

 1  0  0  1  1  1  6  1  1  4  2  4  2
 0  1  0  1  6  7  1  0  1  1  1  1  1
 0  0  1  1  3  2  3  6  7  7  1  1  1
 0  0  0  8  0  0  0  0  8  0  8  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  0  8  8
 0  0  0  0  0  0  8  0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+90x^8+176x^9+1597x^10+4992x^11+13672x^12+24480x^13+13672x^14+4992x^15+1597x^16+176x^17+90x^18+1x^26

The gray image is a code over GF(2) with n=104, k=16 and d=32.
This code was found by Heurico 1.16 in 1.78 seconds.