The generator matrix

 1  1  1  1  1  1  1  1  1  3  3
 0  3  0  0 24 21  3 15 24  3 24
 0  0  3 24  0 15  3 21 24 12 15
 0  0  0  9 18 18 18  0 18 18  0

generates a code of length 11 over Z27 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+54x^16+192x^18+324x^19+972x^20+192x^21+2106x^22+1944x^23+252x^24+432x^25+86x^27+6x^30

The gray image is a code over GF(3) with n=99, k=8 and d=48.
This code was found by Heurico 1.16 in 0.0215 seconds.