The generator matrix
1 0 1 1 1
0 1 3 6 4
generates a code of length 5 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+19x^4+24x^5+18x^6+2x^8
The gray image is a code over GF(2) with n=20, k=6 and d=8.
This code was found by Heurico 1.16 in 5.98e-005 seconds.