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

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

Homogenous weight enumerator: w(x)=1x^0+342x^128+252x^129+18x^130+690x^131+664x^132+144x^133+990x^134+1956x^135+918x^136+2100x^137+3610x^138+1548x^139+1938x^140+2492x^141+288x^142+444x^143+208x^144+408x^146+130x^147+198x^149+94x^150+114x^152+40x^153+48x^155+20x^156+18x^158+6x^159+2x^168+2x^183

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 45.1 seconds.