The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^4+202x^5+1261x^6+2716x^7+8517x^8+11438x^9+17149x^10+11368x^11+8489x^12+2758x^13+1295x^14+188x^15+62x^16+2x^17+7x^18

The gray image is a code over GF(2) with n=40, k=16 and d=8.
This code was found by Heurico 1.16 in 1.52 seconds.