The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  1  1  1  0 24  1 21  1  1  1  1 24  1  0 24  1  1  0  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0 20 19  4 23  1  1 20  1 21 24 16  4  1 16  1  1 19 21  1 26
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  9  0 18  0  0 18 18 18 18 18  9  9  0 18 18  0 18  0  0  9
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9 18  0 18  9  9 18  9  0 18 18 18  0 18  9  0  0  0  9  9 18
 0  0  0  0 18 18  0 18 18  9 18 18  9  0  9  0  9  9  9  9  0 18 18  9 18 18 18 18 18  0 18  9  9  0 18

generates a code of length 35 over Z27 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+150x^62+118x^63+270x^64+678x^65+770x^66+1620x^67+1602x^68+2722x^69+3240x^70+2082x^71+2810x^72+2160x^73+1194x^74+84x^75+108x^77+28x^78+18x^80+10x^81+6x^84+4x^87+4x^90+4x^93

The gray image is a code over GF(3) with n=315, k=9 and d=186.
This code was found by Heurico 1.16 in 3.9 seconds.