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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+54x^82+20x^84+2x^87+4x^90

The gray image is a code over GF(3) with n=369, k=4 and d=246.
This code was found by Heurico 1.16 in 0.0151 seconds.