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

generates a code of length 44 over Z27 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+222x^85+44x^87+216x^88+20x^90+198x^91+12x^93+12x^94+4x^96

The gray image is a code over GF(3) with n=396, k=6 and d=255.
This code was found by Heurico 1.16 in 0.0286 seconds.