The generator matrix

 1  1  1  1  1  2  0  0  1  1  1  1  1
 0  2  0  2  0  2  2  4  8  6 14  4  0
 0  0  2  2  0  6  4  2  6  6  4  4  4
 0  0  0  4 12  0  4 12  4  8  8  0 12
 0  0  0  0  8  0  0  8  0  8  8  8  8
 0  0  0  0  0  8  0  8  0  0  0  8  8
 0  0  0  0  0  0  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+158x^8+224x^9+980x^10+2560x^11+6024x^12+12864x^13+6024x^14+2560x^15+1025x^16+224x^17+100x^18+24x^20

The gray image is a code over GF(2) with n=104, k=15 and d=32.
This code was found by Heurico 1.16 in 2.81 seconds.