The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+804x^126+1686x^127+1770x^128+3422x^129+4434x^130+3852x^131+5686x^132+5496x^133+4650x^134+6346x^135+5520x^136+3462x^137+4442x^138+3414x^139+1560x^140+1178x^141+768x^142+240x^143+148x^144+48x^145+6x^146+62x^147+18x^148+6x^149+18x^150+6x^152+6x^153

The gray image is a code over GF(3) with n=603, k=10 and d=378.
This code was found by Heurico 1.16 in 7.95 seconds.