The generator matrix

 1  1  1  1  1  1  2  4  2  2  1  1  1
 0 12  0 12  0 12 12 12 12 12  8 12  0
 0  0  8  0  0  0  0  0  8  8  8  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  8  8  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+26x^8+16x^9+93x^10+64x^11+520x^12+608x^13+520x^14+64x^15+93x^16+16x^17+26x^18+1x^26

The gray image is a code over GF(2) with n=104, k=11 and d=32.
This code was found by Heurico 1.16 in 0.00666 seconds.