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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+198x^145+336x^146+48x^147+300x^148+450x^149+706x^150+378x^151+1494x^152+1380x^153+348x^154+414x^155+34x^156+60x^157+72x^158+8x^159+42x^160+54x^161+6x^162+84x^163+78x^164+36x^166+18x^167+12x^169+2x^174+2x^216

The gray image is a code over GF(3) with n=684, k=8 and d=435.
This code was found by Heurico 1.16 in 4.37 seconds.