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

generates a code of length 45 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+438x^81+1068x^84+486x^86+1272x^87+1458x^88+1944x^89+5632x^90+2916x^91+1944x^92+1092x^93+864x^96+398x^99+126x^102+42x^105+2x^126

The gray image is a code over GF(3) with n=405, k=9 and d=243.
This code was found by Heurico 1.16 in 1.42 seconds.