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

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

Homogenous weight enumerator: w(x)=1x^0+124x^162+162x^163+210x^164+264x^165+540x^166+336x^167+900x^168+402x^169+402x^170+1494x^171+474x^172+402x^173+202x^174+234x^175+54x^176+54x^177+48x^178+12x^179+38x^180+24x^181+12x^182+72x^183+36x^184+24x^185+18x^187+6x^189+6x^190+6x^191+2x^198+2x^228

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 0.629 seconds.