The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^4+460x^5+1485x^6+5284x^7+13936x^8+26552x^9+34151x^10+27784x^11+14676x^12+5180x^13+1195x^14+276x^15+19x^16+1x^18

The gray image is a code over GF(2) with n=40, k=17 and d=8.
This code was found by Heurico 1.11 in 0.515 seconds.