The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1 21  1  1 24  1  1  1  9  1  1  1 12  1  1  1  1  1 24  1  6  1  1  1  1 24  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0 21  1  1  3
 0  1  7 26 21  4 20  1 24 19 23  1 16  0 26  1 21 24 20  4  1 19 23  1  9 16  8  1 12 13  5  1 24 19 20  6 10  1 11  1 24  6 19 20  1 10 11  1  0  9 21 15  0 18  9 21 12 16  7  6 26 17  1  1  4 23  0
 0  0  9  0 18  9 18  0  9 18  0  9  0 18  9 18  9  0 18  0  9 18  9 18  9 18 18  9  0 18 18 18 18  9  9 18  0  9  0 18  0  9  9  9  0  0  0  0  0 18 18  0 18  9  9  9  0 18  0 18  0  0  0  9  9 18  0
 0  0  0  9  0  9  9  9 18 18  0 18  9  9  0  9  9 18 18 18  0  0 18 18 18 18 18 18 18  0  9 18  0  9 18  9  9  0  9  9  0  9  0  0  0 18  0  9 18 18  9  9  0  0  9 18  0  0  0 18 18  0 18  9 18  0  9

generates a code of length 67 over Z27 who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+312x^128+408x^129+318x^130+678x^131+874x^132+288x^133+738x^134+912x^135+360x^136+462x^137+562x^138+168x^139+378x^140+56x^141+18x^143+2x^144+12x^147+6x^149+4x^153+2x^156+2x^171

The gray image is a code over GF(3) with n=603, k=8 and d=384.
This code was found by Heurico 1.16 in 8.15 seconds.