The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+307x^8+32x^9+1112x^10+1152x^11+3700x^12+3776x^13+3664x^14+1152x^15+1211x^16+32x^17+216x^18+28x^20+1x^24

The gray image is a code over GF(2) with n=52, k=14 and d=16.
This code was found by Heurico 1.16 in 5.38 seconds.