The generator matrix

 1  0  1  1  1  6  1  1  4  1  1  1  1
 0  1  1  6  7  1  4  1  1  3  0  3  0
 0  0  2  0  6  4  2  6  2  0  4  4  6
 0  0  0  4  4  4  0  0  0  4  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+37x^10+56x^11+125x^12+80x^13+118x^14+56x^15+33x^16+5x^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 0.00195 seconds.