The generator matrix

 1  0  1  1  1  1  1  3  1  1 24  1  1  1  3  1  1  1  1  3  1  1  1  1 24 12  1  1  1  1 12  1  1 15  1  1  1  1  1  1  1  1 12 12  6  1  1  1  1  1  1  0 15  1 18
 0  1  1 26 18 25 26  1  4 26  1  0  4  0  1 23 25  2  3  1 16  0 19 26  1  1 21  1  2  8  1 19 15  1 20  9  3 25 24 25 23  6  1  1  1  3 15  1  6 14  4  3  1  4  1
 0  0 24  0 18  0  0  9 18 18  0 21  6  6  3 24 12 12 21 12  9  6 24  6 15 12  9 21 12 12 15 21  3  6 24 12 18  3 15 24  3 24  9  3 18  9  9 21 24 18 21  3  9 15 21
 0  0  0  3 21 12  9  3 24  6 15 21 15 18  6 24  3 12  6 18 18 24 12  9  6 12 15  0  6 18 12 24  0  0 21 24 18 24 12 18 21  6 18 15 12 21 15 12 18  0 18  3 15  9 18

generates a code of length 55 over Z27 who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+180x^100+270x^101+586x^102+1104x^103+1848x^104+2056x^105+3660x^106+4224x^107+4360x^108+7512x^109+6660x^110+5312x^111+7590x^112+5562x^113+3338x^114+2214x^115+1068x^116+464x^117+390x^118+180x^119+88x^120+126x^121+78x^122+72x^123+66x^124+36x^125+2x^126+2x^129

The gray image is a code over GF(3) with n=495, k=10 and d=300.
This code was found by Heurico 1.16 in 7.81 seconds.