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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+26x^126+48x^128+120x^129+216x^130+60x^131+1116x^132+432x^133+18x^134+70x^135+24x^137+24x^138+12x^140+16x^141+2x^144+2x^195

The gray image is a code over GF(3) with n=594, k=7 and d=378.
This code was found by Heurico 1.16 in 0.154 seconds.