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

generates a code of length 45 over Z27 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+102x^85+54x^86+144x^87+456x^88+216x^89+24x^90+780x^91+216x^92+78x^94+70x^96+30x^97+12x^100+2x^108+2x^123

The gray image is a code over GF(3) with n=405, k=7 and d=255.
This code was found by Heurico 1.16 in 0.0486 seconds.