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

generates a code of length 45 over Z27 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+192x^86+202x^87+276x^88+282x^89+356x^90+348x^91+270x^92+142x^93+24x^95+8x^96+12x^97+24x^98+18x^99+12x^100+18x^101+2x^120

The gray image is a code over GF(3) with n=405, k=7 and d=258.
This code was found by Heurico 1.16 in 12 seconds.