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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+306x^159+36x^161+1126x^162+144x^163+144x^164+1360x^165+828x^166+252x^167+2832x^168+2160x^169+450x^170+3956x^171+2340x^172+504x^173+1340x^174+360x^175+72x^176+554x^177+412x^180+272x^183+152x^186+56x^189+16x^192+8x^195+2x^225

The gray image is a code over GF(3) with n=765, k=9 and d=477.
This code was found by Heurico 1.16 in 3.14 seconds.