The generator matrix

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

generates a code of length 45 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+210x^82+498x^83+1960x^84+2712x^85+3012x^86+4988x^87+5484x^88+6174x^89+7304x^90+7182x^91+5982x^92+5920x^93+3816x^94+1680x^95+1360x^96+492x^97+108x^98+78x^99+24x^100+36x^101+16x^102+6x^103+6x^104

The gray image is a code over GF(3) with n=405, k=10 and d=246.
This code was found by Heurico 1.16 in 5 seconds.