The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+23x^10+74x^12+64x^13+70x^14+20x^16+3x^18+1x^24

The gray image is a code over GF(2) with n=52, k=8 and d=20.
This code was found by Heurico 1.16 in 0.00107 seconds.