The generator matrix

 1  1  1  1  1  1  1  1  1  2  0  1  2
 0  2  0  2  0  4  2  6  0  2  2  6  6
 0  0  2  2  0  2  2  0  4  6  4  6  0
 0  0  0  4  0  0  0  4  4  4  0  4  0
 0  0  0  0  4  4  0  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+59x^10+32x^11+145x^12+64x^13+118x^14+32x^15+45x^16+15x^18+1x^20

The gray image is a code over GF(2) with n=52, k=9 and d=20.
This code was found by Heurico 1.16 in 0.0559 seconds.