The generator matrix

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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+714x^122+1160x^123+1866x^124+2406x^125+1864x^126+1548x^127+1878x^128+1406x^129+1494x^130+1590x^131+1118x^132+906x^133+840x^134+506x^135+168x^136+180x^137+14x^138+6x^139+6x^140+2x^141+6x^142+2x^144+2x^147

The gray image is a code over GF(3) with n=576, k=9 and d=366.
This code was found by Heurico 1.16 in 0.854 seconds.