The generator matrix

 1  0  1  1  1  1  1  3  1 24  1  1  1  1  0  1  1  1  1 15  1  9  1  1  1  1  1  1  3  1  1  1 21  1  1  0  1  1  1  1  1  3  1  1  1  6  1 12  1  1  1  1  1 15  1  1  1  1  1  1  1  1  6  1  1  1 12  1  1  1  1  1  9  1  1  1  1  1  1  0  0  1 12  1  9  1  1  3
 0  1  1 26 18 25 26  1 26  1  0 16 16 18  1 17 26 18 13  1  8  1 19  9  4  9  2 18  1 23 19 14  1 21  6  1 11  4  2 16 24  1  1  6 24  1 11  1 24 22 14 21  6  1 25 25 20 15  8  2  4  1  1 24 19 22  1  1 22  1 12  3  1  4 24 25  3 25 12  1  1 20  1  1  1 23 25  0
 0  0 24  0 18  0  0  9  9  0 18 18 18  3 24 21 24 15 12 15  3  3 24  3 21 24  6 12  3  3 12  6  9  6 24 18  9  6 24 12  6 12  9 12  9  6  3 21 24  9 21 15 12 12 24  3  9  0  6 21  3 24 24  0 21  9 24  0 18 12  3  0  9 21  6 24 12  6 18 12 12 18  6  0  0 12 21  9
 0  0  0  3 21 12  9  3  6 15 24  9  6  6 15 24 24 12  0 21  3 21 21  9  6  6 21 21  9  0  3  0 15 18 12  3 12  6 15  3 24  9  3  9 24  0  9 21  9  0  3  6 12 15 15  6  9 18 12 21 18 18  6  3  0 24  0  6 18 18 21  6 24 12 18 12  0 15  0 15  0 24 24  9 18 15 15 15

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

Homogenous weight enumerator: w(x)=1x^0+238x^165+264x^166+648x^167+1368x^168+1908x^169+2544x^170+2712x^171+3426x^172+3660x^173+4574x^174+4554x^175+5196x^176+5558x^177+5562x^178+4920x^179+3934x^180+2826x^181+1974x^182+1346x^183+582x^184+348x^185+226x^186+162x^187+54x^188+86x^189+72x^190+36x^191+56x^192+54x^193+36x^194+36x^195+18x^196+24x^197+30x^198+12x^199+2x^201+2x^207

The gray image is a code over GF(3) with n=792, k=10 and d=495.
This code was found by Heurico 1.16 in 13.6 seconds.