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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+300x^143+316x^144+558x^146+658x^147+324x^148+606x^149+1228x^150+648x^151+462x^152+786x^153+270x^155+62x^156+96x^158+32x^159+60x^161+72x^162+36x^164+36x^167+6x^170+2x^171+2x^198

The gray image is a code over GF(3) with n=675, k=8 and d=429.
This code was found by Heurico 1.16 in 0.651 seconds.