The generator matrix

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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+142x^168+192x^169+1428x^170+426x^171+420x^172+1092x^173+366x^174+180x^175+396x^176+198x^177+258x^178+1020x^179+208x^180+84x^181+114x^182+26x^183+2x^186+2x^189+2x^198+2x^201+2x^210

The gray image is a code over GF(3) with n=783, k=8 and d=504.
This code was found by Heurico 1.16 in 0.44 seconds.