The generator matrix

 1  0  0  1  1  1  6  2  1  1
 0  1  0  1  0  3  1  0  5  0
 0  0  1  1  1  0  1  0  1  0
 0  0  0  2  0  0  0  2  4  0
 0  0  0  0  2  6  6  2  6  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+67x^4+122x^5+621x^6+1804x^7+3797x^8+6286x^9+7421x^10+6216x^11+3769x^12+1846x^13+655x^14+108x^15+46x^16+2x^17+7x^18

The gray image is a code over GF(2) with n=40, k=15 and d=8.
This code was found by Heurico 1.16 in 0.432 seconds.