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

generates a code of length 37 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+162x^72+324x^74+216x^75+18x^78+6x^81+2x^108

The gray image is a code over GF(3) with n=333, k=6 and d=216.
This code was found by Heurico 1.16 in 0.0162 seconds.