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

generates a code of length 69 over Z27 who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+330x^128+264x^129+630x^131+366x^132+1170x^134+476x^135+1944x^136+2058x^137+4488x^138+3888x^139+1860x^140+402x^141+468x^143+274x^144+324x^146+150x^147+228x^149+96x^150+162x^152+30x^153+60x^155+12x^156+2x^198

The gray image is a code over GF(3) with n=621, k=9 and d=384.
This code was found by Heurico 1.16 in 2.23 seconds.