The generator matrix

 1  0  1  1  1  1  1  3  1  1  1  6  1  1  1  1  1  1  1  1  1  0  3  6  1  1  1
 0  1  7  8  3  4  2  1  6  1  5  1  0  3  7  4  6  1  8  2  5  1  1  1  0  3  6

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

Homogenous weight enumerator: w(x)=1x^0+74x^54+6x^63

The gray image is a code over GF(3) with n=81, k=4 and d=54.
This code was found by Heurico 1.16 in 0.00174 seconds.