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

generates a code of length 88 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+348x^165+36x^167+1200x^168+270x^170+1364x^171+162x^172+1044x^173+2772x^174+648x^175+2988x^176+3720x^177+648x^178+1296x^179+1472x^180+198x^182+588x^183+354x^186+288x^189+210x^192+54x^195+14x^198+6x^201+2x^234

The gray image is a code over GF(3) with n=792, k=9 and d=495.
This code was found by Heurico 1.16 in 3.31 seconds.