The generator matrix

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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+444x^143+658x^144+840x^145+954x^146+606x^147+522x^148+510x^149+292x^150+348x^151+432x^152+338x^153+216x^154+234x^155+124x^156+12x^157+6x^158+6x^160+12x^164+2x^165+2x^168+2x^171

The gray image is a code over GF(3) with n=666, k=8 and d=429.
This code was found by Heurico 1.16 in 0.278 seconds.