The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+61x^4+128x^5+216x^6+352x^7+1058x^8+1056x^9+2448x^10+1056x^11+1058x^12+352x^13+216x^14+128x^15+61x^16+1x^20

The gray image is a code over GF(2) with n=40, k=13 and d=8.
This code was found by Heurico 1.16 in 0.024 seconds.