The generator matrix

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

generates a code of length 67 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+612x^126+234x^127+486x^128+1838x^129+684x^130+756x^131+2330x^132+1404x^133+1620x^134+3036x^135+1494x^136+1296x^137+2356x^138+558x^139+216x^140+562x^141+100x^144+70x^147+18x^150+4x^153+2x^156+4x^159+2x^168

The gray image is a code over GF(3) with n=603, k=9 and d=378.
This code was found by Heurico 1.16 in 1.35 seconds.