The generator matrix

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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+570x^145+612x^146+642x^147+1038x^148+546x^149+568x^150+420x^151+414x^152+330x^153+636x^154+282x^155+150x^156+222x^157+84x^158+2x^159+18x^160+2x^162+6x^164+2x^168+12x^169+4x^177

The gray image is a code over GF(3) with n=675, k=8 and d=435.
This code was found by Heurico 1.16 in 1.86 seconds.