The generator matrix

 1  0  0  0  1  1  1  4  1  1  6  4  6
 0  1  0  0  0  1  1  1  6  3  0  2  1
 0  0  1  0  1  1  2  3  5  2  1  1  3
 0  0  0  1  1  0  3  1  6  2  3  0  3
 0  0  0  0  4  0  0  0  0  0  4  4  4
 0  0  0  0  0  4  0  0  4  4  0  0  4
 0  0  0  0  0  0  4  4  0  4  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+243x^8+592x^9+1824x^10+3648x^11+6596x^12+6880x^13+6720x^14+3648x^15+1787x^16+592x^17+224x^18+12x^20+1x^24

The gray image is a code over GF(2) with n=52, k=15 and d=16.
This code was found by Heurico 1.16 in 5.12 seconds.