The generator matrix

 1  0  1  1  1  0  1  1  3  1  1  3  1  1  1  1  0  3  1  1  1  1  6  6  1  1  6
 0  1  1  0  7  1  3  7  1  3  4  1  0  3  4  1  1  1  6  6  7  4  1  1  6  1  1
 0  0  6  3  3  6  6  0  3  3  6  6  6  0  0  3  3  0  0  3  6  3  0  6  6  0  3

generates a code of length 27 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+240x^54+2x^81

The gray image is a code over GF(3) with n=81, k=5 and d=54.
This code was found by Heurico 1.16 in 14.9 seconds.