The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+192x^143+286x^144+468x^145+1008x^146+850x^147+1188x^148+1398x^149+1046x^150+2178x^151+1974x^152+1538x^153+2394x^154+1812x^155+1002x^156+1026x^157+648x^158+312x^159+36x^160+174x^161+28x^162+60x^164+10x^165+24x^167+6x^168+8x^171+10x^174+2x^177+2x^180+2x^186

The gray image is a code over GF(3) with n=684, k=9 and d=429.
This code was found by Heurico 1.16 in 1.49 seconds.