The generator matrix
1 0 1 1 1 1 1 1 1 1
0 1 7 26 21 4 24 0 26 0
0 0 9 0 0 9 0 9 9 18
0 0 0 9 0 18 18 18 0 18
0 0 0 0 18 9 18 18 9 9
generates a code of length 10 over Z27 who´s minimum homogenous weight is 13.
Homogenous weight enumerator: w(x)=1x^0+30x^13+54x^14+72x^15+330x^16+324x^17+2652x^18+1260x^19+7938x^20+5184x^21+1230x^22+432x^23+90x^24+66x^25+20x^27
The gray image is a code over GF(3) with n=90, k=9 and d=39.
This code was found by Heurico 1.16 in 0.18 seconds.