The generator matrix

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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+318x^72+354x^73+1770x^74+2128x^75+1776x^76+2526x^77+2592x^78+1896x^79+2106x^80+1902x^81+810x^82+1014x^83+410x^84+18x^85+24x^86+12x^87+6x^88+12x^89+8x^90

The gray image is a code over GF(3) with n=351, k=9 and d=216.
This code was found by Heurico 1.16 in 0.47 seconds.