The generator matrix

 1  0  0  1  1  1  1  1  1  1 21 15  1  1  1  1  0  1  1  1  1 18 24  1  3  6  6  1  1  1 24 12  1  1  1  1  3  1  1  1  1  1  9 12  1
 0  1  0  0  9 16 16  1  2 23  1  1 23 18 10  8  1 21  5 20 12  1  1 25 12  1  1 16 12 22  9  1 26  4  8 13  3 11 16  9 18  8 24  1 12
 0  0  1  1 17 17 15  1 23  3 17 19  4 15 16  2 19 26  4  3 25  9 17  9  1 11  6 14  7 13  1 25 22 16 14  6  1  4 14 16 10 18  1 15 10
 0  0  0 24 18  9  0  6  3 12  9  9  0 15 21 18 12 21  6 15  0  6  6  3 12  0 12 12 12 12  6 24  3 18 15 18 18 12  6  6 21  0 12  9  9

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

Homogenous weight enumerator: w(x)=1x^0+1018x^81+972x^82+2880x^83+4674x^84+5436x^85+10026x^86+12750x^87+13698x^88+21618x^89+23120x^90+21384x^91+22446x^92+16506x^93+8604x^94+6822x^95+3246x^96+936x^97+360x^98+458x^99+150x^102+42x^105

The gray image is a code over GF(3) with n=405, k=11 and d=243.
This code was found by Heurico 1.16 in 62.8 seconds.