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

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

Homogenous weight enumerator: w(x)=1x^0+156x^163+294x^164+832x^165+1200x^166+1914x^167+1820x^168+3054x^169+3222x^170+4514x^171+4272x^172+4098x^173+5992x^174+5778x^175+5292x^176+4954x^177+3804x^178+2808x^179+2122x^180+1242x^181+522x^182+296x^183+198x^184+126x^185+62x^186+84x^187+78x^188+24x^189+90x^190+90x^191+18x^192+42x^193+12x^194+16x^195+6x^196+12x^197+2x^198+2x^201

The gray image is a code over GF(3) with n=783, k=10 and d=489.
This code was found by Heurico 1.16 in 13.6 seconds.