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

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

Homogenous weight enumerator: w(x)=1x^0+58x^99+30x^100+6x^101+350x^102+108x^103+66x^104+440x^105+378x^106+192x^107+1520x^108+1188x^109+342x^110+4406x^111+2202x^112+474x^113+4430x^114+1608x^115+294x^116+636x^117+186x^118+84x^119+324x^120+120x^121+120x^123+12x^124+46x^126+24x^129+10x^132+14x^135+6x^138+4x^141+2x^144+2x^147

The gray image is a code over GF(3) with n=504, k=9 and d=297.
This code was found by Heurico 1.16 in 1.97 seconds.