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

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

Homogenous weight enumerator: w(x)=1x^0+396x^81+18x^82+1166x^84+144x^85+972x^86+1228x^87+1404x^88+3888x^89+1230x^90+2520x^91+3888x^92+1126x^93+288x^94+808x^96+440x^99+136x^102+16x^105+10x^108+2x^111+2x^117

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 1.61 seconds.