The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1 18  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  1  3 22  2  1 15  1  0 21 16  4 24  7 13  9 12  6 19 10

generates a code of length 46 over Z27 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+312x^91+252x^92+4x^93+156x^94+4x^114

The gray image is a code over GF(3) with n=414, k=6 and d=273.
This code was found by Heurico 1.16 in 0.296 seconds.