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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+296x^162+108x^164+528x^165+648x^167+828x^168+1296x^170+1292x^171+864x^173+318x^174+84x^177+126x^180+144x^183+24x^186+2x^189+2x^234

The gray image is a code over GF(3) with n=765, k=8 and d=486.
This code was found by Heurico 1.16 in 0.84 seconds.