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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+362x^90+252x^93+90x^96+20x^99+4x^108

The gray image is a code over GF(3) with n=414, k=6 and d=270.
This code was found by Heurico 1.16 in 0.105 seconds.