The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  0  1  1  1  1 15 18  1  3  1  1  1 18  1  3  1  1  1  1  1  1  1 15  1  1  1  1 12  1  1  1 18  1 12  0  1 15  1 24  1  1 21  1  1  1  1  1  1  1  1  3  1  1 21  1  1  1  1  3  1 24  1  1  1  1  9 18 24  6  6 12  1  1  1
 0  1  0  0  9 16 16 14  1 14  1 26  1  3  1 17  6 22  3  1 21  1  1 17 17 22  1 18 21 13  5  0  7  5 13 14  1  3 12 26  1  1 18 10 10  6 26  1  1  8  6 13  1 20 16  1  2 18 26  4 21 18  7 18  3 11  5  1  0 14  8  4  1  6  1 10 15 26  2  1  3  1  1  1  1 15  9 15
 0  0  1  1 17 17 15 16  7 21 16 23  2  3  4 19  4 21 20 21  1  5 14 11  3 16 21 21  1  8 15  1 13 11  9 22 23 23 15 14  8  6 17  6  9  1 12  0  7  4  1  4 22 16  2 23 25 13  6  8  9 25  1 22  1 23  2 11 14 24 15 18 18  2 14 18 10 16 10 26  1  1 10 19 24  0 21  1
 0  0  0 24 18  9  0  9  0 18 18  0  9  0 18  9  0  9  9  9  9  9 18 24  3  3  6 21  3 12 24  3 15 12 15  3  6  3  6 21 24 24  6  6 12 15  6 21 12 24 21  6  6  0 12  6  6 12  9 15 24 15 21 15  6 21 15 24  6 12 15  0 12 21 18  9  0  6 21  3  0 12 24 21 21 21  9  9

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

Homogenous weight enumerator: w(x)=1x^0+978x^165+774x^166+2322x^167+4608x^168+5058x^169+6678x^170+10034x^171+8316x^172+12204x^173+14352x^174+12852x^175+15714x^176+16440x^177+13410x^178+14958x^179+12644x^180+7722x^181+6372x^182+5478x^183+2682x^184+1296x^185+1188x^186+216x^187+234x^188+310x^189+174x^192+102x^195+24x^198+6x^201

The gray image is a code over GF(3) with n=792, k=11 and d=495.
This code was found by Heurico 1.16 in 176 seconds.