The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^10+96x^11+241x^12+192x^13+214x^14+96x^15+77x^16+15x^18+1x^20

The gray image is a code over GF(2) with n=52, k=10 and d=20.
This code was found by Heurico 1.16 in 0.0122 seconds.