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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+62x^93+208x^96+6x^98+220x^99+72x^101+192x^102+360x^104+194x^105+960x^107+234x^108+14562x^110+184x^111+1152x^113+202x^114+384x^116+176x^117+200x^120+120x^123+88x^126+54x^129+32x^132+10x^135+8x^138+2x^147

The gray image is a code over GF(3) with n=495, k=9 and d=279.
This code was found by Heurico 1.16 in 2.72 seconds.