The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1
 0  2  0  6  0  6  4  6  0  4  4  6  0
 0  0  4  0  0  4  4  4  4  4  0  0  0
 0  0  0  4  4  4  4  0  4  0  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+1x^10+16x^11+30x^12+32x^13+30x^14+16x^15+1x^18+1x^24

The gray image is a code over GF(2) with n=52, k=7 and d=20.
This code was found by Heurico 1.16 in 0.000888 seconds.