The generator matrix

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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+358x^123+192x^124+408x^125+1138x^126+492x^127+708x^128+2432x^129+804x^130+1602x^131+3206x^132+1038x^133+1302x^134+3088x^135+570x^136+714x^137+1030x^138+258x^139+90x^140+82x^141+48x^142+36x^143+44x^144+24x^147+6x^150+4x^153+4x^156+2x^159+2x^165

The gray image is a code over GF(3) with n=594, k=9 and d=369.
This code was found by Heurico 1.16 in 1.24 seconds.