The generator matrix
1 1 1 1 1 1 1 1 2 2 2 1 2 1 4 4 0 0
0 4 0 4 0 0 4 4 0 4 4 0 0 0 4 4 4 4
0 0 4 4 0 4 4 0 4 4 0 0 0 4 4 0 0 4
generates a code of length 18 over Z8 who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+26x^18+2x^20+2x^22+1x^24
The gray image is a code over GF(2) with n=72, k=5 and d=36.
This code was found by Heurico 1.16 in 0.00126 seconds.