The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1 18  3  1  3  1 18  1  3  1  1  9  3
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 15 21 12  6 18  3 21 18 15 15 18 21  6  9  9 12  6 21  9 15 24 24 12 21 18 18 15 12  9 21 15 24 12  3  9 18  3 12  3 24 12 18 18  3  6 18 24 24  3 21
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15  9  6  9  3  6 18 24  9  3 12  9 24  6 12 15  3 21  0 18  0 21 15  6  9 18  3 18  9  3 18 21  9 12  9  3  3 12  9  0 21 15  6 21 15  3  6 21  9 15 24  9
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  0  0 18 18  9  0  0 18  9  0  9  0  0  9 18  0  9  0  9 18  9  0 18 18  0 18  0 18 18 18  0  9 18  9  9  0  9  9  0  9 18 18 18  9 18 18  0 18 18  9  0
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0  0  0 18 18  9 18  9  9 18  9 18  0  0  9 18  9 18 18 18  0 18  9  0  0 18  9  9 18  9  9  0  0 18  0 18  0  9  9  9  9  9  9  0 18  0 18 18  9  9  9 18

generates a code of length 66 over Z27 who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+288x^122+272x^123+780x^125+652x^126+1014x^128+1768x^129+1944x^130+1146x^131+2620x^132+3888x^133+1176x^134+2030x^135+708x^137+368x^138+264x^140+170x^141+312x^143+76x^144+114x^146+40x^147+30x^149+16x^150+4x^153+2x^174

The gray image is a code over GF(3) with n=594, k=9 and d=366.
This code was found by Heurico 1.16 in 41.8 seconds.