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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+44x^99+102x^102+116x^105+54x^106+98x^108+324x^109+64x^111+5022x^112+64x^114+432x^115+54x^117+54x^120+46x^123+16x^126+30x^129+24x^132+12x^135+2x^138+2x^159

The gray image is a code over GF(3) with n=504, k=8 and d=297.
This code was found by Heurico 1.16 in 0.361 seconds.