The generator matrix

 1  0  0  1  1  1  1  1  1  1 21 15  1  1  1  1  0  1  1  1  1 21  3  1 15  1  1  1  1  1  1  1  9  1 12  1  3  1 18  1  1 18  9  1  1  3  1  9  1  1  1 24  1 21  1
 0  1  0  0  9 16 16  1  2 23  1  1 23 18 10  8  1 21  5  8  1  1  1  1  3  8 15 14 20 16  9 10  1 21  1 22 12 16  1  3  8  0  1 22  6  1 20  1 25 17 20  1  0  1  4
 0  0  1  1 17 17 15  1 23  3 17 19  4 15 16  2 19 26  4  0 24 14 18 20  1  9  4 23  7  8 16 10 22  6 15  6  1 21  6 15 25  1 23 12 10  2 21 16 19  6 21 13 21 14  6
 0  0  0 24 18  9  0  6  3 12  9  9  0 15 21 18 12 21  6 24 12  6 21 15 21  9 21 24 12  3 24 18  6  3 15  9  9  6 15 18 15  3 21 24  0  0 15 24 15 15 21  3 12 18 21

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

Homogenous weight enumerator: w(x)=1x^0+408x^100+816x^101+1564x^102+4644x^103+4986x^104+5888x^105+11910x^106+11616x^107+12686x^108+22122x^109+18858x^110+17538x^111+22716x^112+14958x^113+9518x^114+9588x^115+3636x^116+1578x^117+1278x^118+378x^119+48x^120+180x^121+108x^122+20x^123+48x^124+48x^125+6x^127+2x^129

The gray image is a code over GF(3) with n=495, k=11 and d=300.
This code was found by Heurico 1.16 in 53 seconds.