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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+1026x^142+1434x^143+1746x^144+2286x^145+1638x^146+1418x^147+2028x^148+1392x^149+1044x^150+1752x^151+1068x^152+682x^153+936x^154+504x^155+364x^156+228x^157+108x^158+6x^159+6x^161+2x^162+6x^163+6x^164+2x^171

The gray image is a code over GF(3) with n=666, k=9 and d=426.
This code was found by Heurico 1.16 in 1.22 seconds.