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

generates a code of length 50 over Z27 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+78x^97+228x^98+8x^99+132x^100+126x^101+10x^102+42x^103+72x^104+4x^105+18x^106+6x^107+2x^114+2x^120

The gray image is a code over GF(3) with n=450, k=6 and d=291.
This code was found by Heurico 1.16 in 0.0451 seconds.