The generator matrix

 1  0  1  1  1  0  2  1  1  1
 0  1  1  0  1  1  0  4  4  0
 0  0  2  0  0  0  2  0  4  0
 0  0  0  2  0  0  2  4  0  0
 0  0  0  0  2  0  2  4  4  0
 0  0  0  0  0  2  2  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+73x^4+74x^5+354x^6+676x^7+1741x^8+3342x^9+3856x^10+3352x^11+1735x^12+678x^13+362x^14+68x^15+66x^16+2x^17+4x^18

The gray image is a code over GF(2) with n=40, k=14 and d=8.
This code was found by Heurico 1.16 in 0.144 seconds.