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

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

Homogenous weight enumerator: w(x)=1x^0+116x^165+180x^166+264x^167+474x^168+396x^169+504x^170+766x^171+792x^172+714x^173+2280x^174+2190x^175+2022x^176+3358x^177+2154x^178+876x^179+886x^180+210x^181+162x^182+236x^183+156x^184+108x^185+202x^186+96x^187+108x^188+68x^189+90x^190+60x^191+74x^192+30x^193+36x^194+22x^195+18x^196+6x^197+20x^198+6x^199+2x^243

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 3.01 seconds.