The generator matrix

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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+456x^164+400x^165+738x^166+1446x^167+1156x^168+1350x^169+2310x^170+1414x^171+1602x^172+2064x^173+1008x^174+1584x^175+1686x^176+866x^177+432x^178+594x^179+174x^180+126x^181+102x^182+34x^183+36x^185+24x^186+24x^188+2x^189+18x^191+16x^192+6x^195+6x^197+6x^200+2x^207

The gray image is a code over GF(3) with n=774, k=9 and d=492.
This code was found by Heurico 1.16 in 1.81 seconds.