The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2
 0  2  0  0  0  0  0  4  6  4  6  2  4
 0  0  2  0  0  0  0  4  2  6  6  4  0
 0  0  0  2  0  0  4  6  2  0  6  4  4
 0  0  0  0  2  0  6  6  6  6  4  6  6
 0  0  0  0  0  2  2  0  6  4  2  0  4

generates a code of length 13 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+159x^8+384x^9+288x^10+1560x^12+3328x^13+1664x^14+303x^16+384x^17+96x^18+24x^20+1x^24

The gray image is a code over GF(2) with n=52, k=13 and d=16.
This code was found by Heurico 1.16 in 63.1 seconds.