The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3 24  1  1  1 15 18  1  1 12 12  1  1  1  1  1 24  1  1 15  1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1 15 18  3  1  1  1  1 24  1  1  6 12  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1  1 16 11 24 21  1  8 14  1 12 22  6 11  6 10  1  3 15  1 25 15  1 18 20  8  7  5  4  1 21 26  7 11 25  3  1  1 18 26 21  0 19  6  4  2  1 15  8 24
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 13 14 10 26  1 12 11  3 14  1 19 13 12 25 15 14  0  5 19  3  1  1 10  7  9 26 20 22  7 20 17 11 15 13 25 21 17  1 23 19  2 11  1  2 12 19  1 18  3

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

Homogenous weight enumerator: w(x)=1x^0+762x^128+1280x^129+1836x^130+2106x^131+2326x^132+1308x^133+1764x^134+1744x^135+1068x^136+1578x^137+1234x^138+876x^139+714x^140+604x^141+240x^142+198x^143+10x^144+12x^145+6x^148+6x^149+4x^150+6x^153

The gray image is a code over GF(3) with n=603, k=9 and d=384.
This code was found by Heurico 1.16 in 0.923 seconds.