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

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

Homogenous weight enumerator: w(x)=1x^0+30x^81+54x^82+162x^83+46x^84+102x^85+204x^86+50x^87+738x^88+186x^89+2942x^90+1380x^91+162x^92+32x^93+72x^94+126x^95+12x^96+36x^97+102x^98+18x^99+42x^100+18x^101+12x^102+6x^103+12x^104+8x^105+6x^108+2x^132

The gray image is a code over GF(3) with n=405, k=8 and d=243.
This code was found by Heurico 1.16 in 0.197 seconds.