The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  1  1
 0  1  0  0  1  3  1  4  6  2  2  1  5
 0  0  1  3  1  0  3  2  4  2  1  6  7
 0  0  0  4  4  4  0  0  0  4  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+74x^10+132x^11+201x^12+260x^13+148x^14+108x^15+77x^16+12x^17+10x^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 0.00483 seconds.