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

generates a code of length 81 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+180x^151+246x^152+102x^153+402x^154+696x^155+330x^156+498x^157+1758x^158+776x^159+1458x^160+2904x^161+1240x^162+2346x^163+3006x^164+878x^165+276x^166+1056x^167+202x^168+228x^169+228x^170+48x^171+198x^172+144x^173+24x^174+144x^175+114x^176+28x^177+78x^178+42x^179+4x^180+24x^181+6x^182+8x^183+6x^185+2x^195+2x^210

The gray image is a code over GF(3) with n=729, k=9 and d=453.
This code was found by Heurico 1.16 in 3.04 seconds.