The generator matrix
1 0 0 1 1 1 6 1 1 0 1 1 0 1 2 4 0 1
0 1 0 1 0 1 1 2 5 1 7 2 1 1 0 1 1 0
0 0 1 1 1 0 1 1 3 0 0 2 7 2 0 3 2 0
0 0 0 2 0 0 0 0 0 2 2 4 2 4 6 2 6 0
0 0 0 0 2 0 4 6 4 0 2 2 2 6 6 4 6 0
0 0 0 0 0 2 6 6 4 2 6 6 0 6 6 6 2 4
generates a code of length 18 over Z8 who´s minimum homogenous weight is 11.
Homogenous weight enumerator: w(x)=1x^0+44x^11+183x^12+472x^13+1032x^14+2260x^15+3716x^16+5418x^17+6426x^18+5432x^19+3887x^20+2246x^21+996x^22+452x^23+115x^24+54x^25+26x^26+4x^27+2x^28+2x^29
The gray image is a code over GF(2) with n=72, k=15 and d=22.
This code was found by Heurico 1.16 in 4.26 seconds.