The generator matrix

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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+228x^142+588x^143+582x^144+1014x^145+1722x^146+1570x^147+1710x^148+2028x^149+1376x^150+1788x^151+1944x^152+1424x^153+1116x^154+1086x^155+606x^156+348x^157+318x^158+2x^159+24x^160+60x^161+12x^162+30x^163+12x^164+10x^165+48x^166+12x^167+2x^168+12x^169+6x^173+4x^174

The gray image is a code over GF(3) with n=675, k=9 and d=426.
This code was found by Heurico 1.16 in 1.45 seconds.