The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1  1 21  1  1  1  1  1 18  1  3  1  1  1  0  1  1  1  1  3  1  1 18  1  1  1  1 18  1 21
 0  1  1 26 21 20  1 16 24  1 23  4  0  1 17  1 14  1  3 25 15 20  4  1 24  1 16 23  4  1  0 15 18 23  1 18 15  1 17  9 19  0  1 21  1
 0  0 24  0  0 18 18 18  9  0  0 18  6 15 21 21 12  6 21 12 12 15  6  3  6  3 15 24  9 24  9  3 15 24  3 12 15 12 21 18  6  6 24 18 24
 0  0  0  9  0  0  0 18  0  0 18  9  0  0 18 18  9 18  0  0  9  9  9  0 18  9  0 18 18  0  9  9 18 18  9  0  9 18  9 18  0  9  9 18  0
 0  0  0  0 18 18  9  9  9 18  9  0 18  0  9 18  0  9  9  9  9 18  0  9 18  0 18  0 18  9  9 18  9  9 18  0  0  9 18  0  9  9  0  9  0

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

Homogenous weight enumerator: w(x)=1x^0+494x^81+216x^82+576x^83+2214x^84+1008x^85+2610x^86+5946x^87+3798x^88+6210x^89+10468x^90+6156x^91+6606x^92+7548x^93+1800x^94+1494x^95+1140x^96+144x^97+462x^99+138x^102+6x^105+12x^108+2x^117

The gray image is a code over GF(3) with n=405, k=10 and d=243.
This code was found by Heurico 1.16 in 63.3 seconds.