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  3  1  3  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3  1  3  1  1  1  3  1
 0  9  0  0  0  0  0  0  0  0  0  0  0 18  9  9 18 18 18 18  0  9 18 18  9  0  9  9 18  9  0  9 18  0 18  9  0  9  0  9  9 18  9  9  9 18  9  0  9 18  0 18  0  0
 0  0  9  0  0  0  0  0  0  0  0  9  9  0  0  9  9 18  0 18 18 18  9 18  9  9  9 18  0 18  9  0  9 18  9  9  9  0  0 18 18 18  0  9 18  0  0  9  9 18 18 18  9  0
 0  0  0  9  0  0  0  0  9 18 18 18  9  0  0  0  9  9 18  0 18  9  9  9  0  9 18 18 18  0  9 18  9  0 18 18 18 18  0 18  0 18  9  9  0 18 18  0  0  0  0  0  9  0
 0  0  0  0  9  0  0  9 18  0 18  0  9  0 18  9 18  9  9  0  0  0  9 18  9  0  9 18  9  9 18 18 18 18 18  0 18 18 18 18  0  0  0  0  0 18 18  9  9  9  0 18  9  0
 0  0  0  0  0  9  0 18 18  9  0 18  9 18  0 18  0  9 18 18  0 18  9  9  0 18  0  9 18  9  9  0  9 18 18  0  9  9 18  0 18  9  0  0 18  9 18 18 18  9  9  0  9  0
 0  0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  0  0  9  0  9  9  9  9  9  9 18  0  0 18  9  9  9 18 18  9  9 18  9 18 18  9  9  0  9  0  9 18 18 18  0  0  9  0

generates a code of length 54 over Z27 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+58x^90+154x^93+172x^96+306x^99+588x^102+1162x^105+14746x^108+1342x^111+588x^114+176x^117+144x^120+110x^123+68x^126+40x^129+20x^132+6x^135+2x^144

The gray image is a code over GF(3) with n=486, k=9 and d=270.
This code was found by Heurico 1.16 in 2.61 seconds.