The generator matrix

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

generates a code of length 45 over Z27 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+312x^83+530x^84+774x^85+1344x^86+1682x^87+1332x^88+2064x^89+2876x^90+2214x^91+2280x^92+2190x^93+954x^94+588x^95+208x^96+72x^97+114x^98+28x^99+72x^101+14x^102+30x^104+2x^108+2x^111

The gray image is a code over GF(3) with n=405, k=9 and d=249.
This code was found by Heurico 1.16 in 0.835 seconds.