The generator matrix

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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+378x^143+476x^144+1830x^145+3228x^146+2470x^147+3966x^148+6132x^149+2922x^150+5640x^151+6402x^152+3276x^153+5520x^154+5364x^155+2662x^156+2988x^157+3036x^158+880x^159+804x^160+684x^161+174x^162+96x^163+12x^164+4x^165+30x^166+30x^167+6x^168+18x^169+6x^170+6x^172+6x^174+2x^177

The gray image is a code over GF(3) with n=684, k=10 and d=429.
This code was found by Heurico 1.16 in 8.81 seconds.