The generator matrix

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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+792x^163+1314x^164+2438x^165+3666x^166+5592x^167+7190x^168+7824x^169+10236x^170+12486x^171+11838x^172+14604x^173+16232x^174+15036x^175+15558x^176+14710x^177+10962x^178+8706x^179+7398x^180+4080x^181+3054x^182+1352x^183+984x^184+522x^185+130x^186+84x^187+102x^188+14x^189+66x^190+72x^191+12x^192+60x^193+18x^194+2x^195+12x^196

The gray image is a code over GF(3) with n=783, k=11 and d=489.
This code was found by Heurico 1.16 in 125 seconds.