The generator matrix

 1  0  0  1  1  1  1  1  1  1  1
 0  1  0 15  1 16 17  0 21 25  4
 0  0  1 25  1 15 20 26 17  2  0
 0  0  0 18  9 18  9 18  0  0  9

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

Homogenous weight enumerator: w(x)=1x^0+216x^16+72x^17+1650x^18+1296x^19+7722x^20+6024x^21+18630x^22+15444x^23+6084x^24+1728x^25+90x^26+86x^27+6x^30

The gray image is a code over GF(3) with n=99, k=10 and d=48.
This code was found by Heurico 1.16 in 0.661 seconds.