The generator matrix

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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+376x^147+960x^148+600x^149+742x^150+762x^151+528x^152+498x^153+354x^154+384x^155+396x^156+522x^157+108x^158+150x^159+144x^160+6x^162+12x^163+8x^165+8x^171+2x^186

The gray image is a code over GF(3) with n=684, k=8 and d=441.
This code was found by Heurico 1.16 in 0.3 seconds.