The generator matrix
1 0 1 1 1 1 1 21 1 1 1
0 1 7 26 21 4 20 1 19 16 16
0 0 9 0 0 9 9 18 18 9 18
0 0 0 9 0 18 0 18 9 9 18
0 0 0 0 18 9 9 9 9 0 9
generates a code of length 11 over Z27 who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+48x^15+54x^16+312x^18+324x^19+3888x^20+834x^21+5022x^22+7776x^23+852x^24+432x^25+128x^27+12x^30
The gray image is a code over GF(3) with n=99, k=9 and d=45.
This code was found by Heurico 1.16 in 0.084 seconds.