The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  1  0  1  1  1  0 24  3  1  1  1  1 24  1  1  6  1 21  1  1  1  1  1  1  9  1 18  1  1 12  1  1  6  1  1  0  1  1  1  3  1  1  1  3 24  1  1  1  1  1 21 15  1  1  1  1  1  1 12  1  1  1  0  1  6  1  1  1 18  1  1  1
 0  1  0  0  9 16 16 14  1 14  1 26  1 24 12  1 17 22 12 12  1  1 16 17 22 14  1 19  7  9  9  1  5 12  1 24 15  2  1 13  1 12 20 12 14 16  1 15  5  1 24 10 24  1  1 10 18 18  1  2  3 22 22  0  1  1  6 23  8  6 20 11  0  0 15 20  1 10 12 11  1  6  1  0 18 10
 0  0  1  1 17 17 15 16  7 21 16 23  2  4 12  4 19 21  2  1  2  3 22 11 23  0  5  8  6  1 25 13  4  6 19  5 14 22  4  4  3 15  3  1  6  8  7 26 20  0 15 21  7 23 22 26 25  1 18 12 16 23 10 18 11 10  8  6  7 18  0 26  1  3 11 15 25  0  1  0  4 17 26 25 24 16
 0  0  0 24 18  9  0  9  0 18 18  0  9  0  0 18  9  9  9 21  3 15 12 24 15 24 24 12 15 15  3 24  3 24 24  6 12 24 12 21 21 12 15  9 21 21 15  3 21 15 24 21 12  3 15 24  0 24 21 21 15 12  0  6  6  6 15 15  3  9 15 21 12 18 15 18  3  9  9 24  9  0 18 24  6  6

generates a code of length 86 over Z27 who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+738x^161+1408x^162+2034x^163+4134x^164+5610x^165+6192x^166+8028x^167+11004x^168+10746x^169+13206x^170+16592x^171+14526x^172+15336x^173+16880x^174+12978x^175+10674x^176+9600x^177+6210x^178+4764x^179+3230x^180+1206x^181+1092x^182+452x^183+54x^184+162x^185+78x^186+108x^188+18x^189+48x^191+8x^192+18x^194+12x^197

The gray image is a code over GF(3) with n=774, k=11 and d=483.
This code was found by Heurico 1.16 in 87.8 seconds.