The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  0  3  3  3  3  3  3
 0  3 24  0 21 24 21  6  0  9  0  9 21 12  9 24 15 21  3  9  3 18  3 24 15 15 15 21 24  3 21 24 24  6 21 12
 0  0  9  0  9  0 18 18  9 18  9 18 18  0  9  0 18  9  9  0 18 18  0  9  0  9 18 18  0  0 18  0  9 18  9  9
 0  0  0  9 18  9  9 18 18  9  0 18 18 18  9 18  9  0  9 18  0  0  9 18  0  9  0 18  0  9  9  9  0  9  0  9

generates a code of length 36 over Z27 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+144x^67+432x^69+378x^70+72x^72+756x^73+180x^76+216x^78+8x^81

The gray image is a code over GF(3) with n=324, k=7 and d=201.
This code was found by Heurico 1.16 in 0.0299 seconds.