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

generates a code of length 89 over Z27 who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+306x^167+182x^168+636x^170+390x^171+162x^172+822x^173+916x^174+972x^175+2070x^176+2246x^177+1944x^178+3198x^179+2200x^180+1296x^181+726x^182+182x^183+354x^185+168x^186+276x^188+106x^189+180x^191+100x^192+132x^194+44x^195+48x^197+12x^198+6x^201+6x^204+2x^246

The gray image is a code over GF(3) with n=801, k=9 and d=501.
This code was found by Heurico 1.16 in 3.4 seconds.