The generator matrix

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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+896x^120+936x^121+1788x^122+2338x^123+1824x^124+1386x^125+2336x^126+1584x^127+1452x^128+1626x^129+876x^130+912x^131+932x^132+438x^133+126x^134+196x^135+6x^137+8x^138+6x^139+6x^142+8x^144+2x^147

The gray image is a code over GF(3) with n=567, k=9 and d=360.
This code was found by Heurico 1.16 in 0.839 seconds.