The generator matrix

 1  0  1  1  1  1  1 18  1  1  1  3 15  1 21  1  1  1  1  1  1  1  1  0  1  1 21 24 24 21  1  1  1  1 21  0
 0  1  1 26 21 20 16  1 24 23  4  1  1 26  1  0 17 25 14  1 21 24 17  1 22  2  1  1  1  1 20  2  2 26  1  1
 0  0 24  0 18 18 15  3  0 18 24  3 21 15 18  6 12 12 21 21 24 24 12 18 12 21  0 18  6 24  9 15 21  9  0 24
 0  0  0  9  9  0 18  9 18 18  9 18  0  0 18  9  0 18 18  9  0 18  9  9  0  9  0 18 18  9 18 18  0  0  9  9

generates a code of length 36 over Z27 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+216x^65+184x^66+612x^67+1956x^68+414x^69+1080x^70+5166x^71+886x^72+1836x^73+5064x^74+642x^75+846x^76+510x^77+36x^78+162x^80+18x^81+48x^83+4x^90+2x^93

The gray image is a code over GF(3) with n=324, k=9 and d=195.
This code was found by Heurico 1.16 in 0.604 seconds.