The generator matrix

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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+324x^167+462x^168+2094x^169+2052x^170+1192x^171+2610x^172+1878x^173+774x^174+1800x^175+1350x^176+622x^177+1254x^178+942x^179+312x^180+888x^181+486x^182+226x^183+258x^184+96x^185+44x^186+6x^187+2x^189+8x^192+2x^198

The gray image is a code over GF(3) with n=783, k=9 and d=501.
This code was found by Heurico 1.16 in 1.29 seconds.