The generator matrix

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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+216x^161+364x^162+558x^163+1014x^164+1100x^165+936x^166+1536x^167+1404x^168+1638x^169+1758x^170+1788x^171+1548x^172+1752x^173+1484x^174+1008x^175+732x^176+336x^177+144x^178+168x^179+34x^180+78x^182+18x^183+36x^185+6x^186+14x^189+4x^192+4x^201+2x^207+2x^216

The gray image is a code over GF(3) with n=765, k=9 and d=483.
This code was found by Heurico 1.16 in 1.8 seconds.