The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^162+114x^163+414x^164+520x^165+1128x^166+2076x^167+1952x^168+3240x^169+3504x^170+2922x^171+5556x^172+5028x^173+4038x^174+7128x^175+4986x^176+3782x^177+4674x^178+3216x^179+1516x^180+1200x^181+780x^182+262x^183+186x^184+216x^185+144x^186+60x^187+84x^188+60x^189+24x^190+96x^191+20x^192+18x^193+12x^194+6x^195+8x^198+2x^201+2x^204

The gray image is a code over GF(3) with n=783, k=10 and d=486.
This code was found by Heurico 1.16 in 14.4 seconds.