The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3  0 18  1
 0  3  0  9 24 21  3 15 24  9  9 15 18 12  9 15  6  0  6 12  6 21 21 18 21  3 15  6 18  3 15 12  6 12 18  0  3 15 24  6 15 12 12  3  0 21  3 24 18  3  3  3  9
 0  0  3 15  9  6  3 21 15  0  6 18 21 24  9 24  9 12 24 12 12  9  0  6 24 21 12  3  3  6  0  9 15 21 24 18 12  3 24  6  9  3  0 15 15 18  9 12  0  3 15 21 12

generates a code of length 53 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+268x^102+60x^103+186x^104+436x^105+384x^106+276x^107+410x^108+24x^109+24x^110+48x^111+18x^112+32x^114+12x^117+6x^120+2x^147

The gray image is a code over GF(3) with n=477, k=7 and d=306.
This code was found by Heurico 1.16 in 9.23 seconds.