The generator matrix

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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+1370x^162+3090x^163+4458x^164+7428x^165+11778x^166+14442x^167+19138x^168+24996x^169+28146x^170+35180x^171+39960x^172+41106x^173+48754x^174+47544x^175+45570x^176+42064x^177+36324x^178+26376x^179+20066x^180+15552x^181+7872x^182+5356x^183+2658x^184+1020x^185+610x^186+276x^187+96x^188+38x^189+42x^190+24x^191+22x^192+30x^193+6x^194+36x^195+12x^197

The gray image is a code over GF(3) with n=783, k=12 and d=486.
This code was found by Heurico 1.16 in 895 seconds.