The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  3  3  3  1  1  1  3  9  9  0  1
 0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9  0

generates a code of length 37 over Z27 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+60x^74+2x^75+12x^77+4x^78+2x^84

The gray image is a code over GF(3) with n=333, k=4 and d=222.
This code was found by Heurico 1.16 in 0.0105 seconds.