The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1  1 21  1  1 24  1  1 21  1  1 21 24  1  1  1 24 12  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0  4  1 19 21 20 23  1 24 16  1 19 26  1 23  0  1  1 16 16 26  1  1 20 21 21 24  7 12  8  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  0 18  0  0  9  9 18 18  0  9 18  9 18 18  0  9  0 18  9  0  0  9 18  9 18  0 18 18 18  0  9  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9  9 18  0  9 18  0  0 18  0 18  9  9  9  0  9 18 18 18  9  9  0  9 18  9  0
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  9  0 18  0 18  0  9  9 18 18 18 18  0 18  0  0  9 18 18  0  0

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

Homogenous weight enumerator: w(x)=1x^0+104x^81+72x^82+444x^83+462x^84+360x^85+1254x^86+1742x^87+756x^88+3090x^89+3138x^90+1008x^91+3012x^92+2298x^93+720x^94+798x^95+200x^96+150x^98+24x^99+38x^102+2x^105+8x^111+2x^120

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 0.752 seconds.