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

generates a code of length 52 over Z27 who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+132x^100+108x^101+34x^102+84x^103+1620x^104+36x^105+8x^108+84x^109+54x^110+24x^112+2x^156

The gray image is a code over GF(3) with n=468, k=7 and d=300.
This code was found by Heurico 1.16 in 26.2 seconds.