The generator matrix

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

generates a code of length 69 over Z27 who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+384x^133+714x^134+608x^135+1086x^136+594x^137+454x^138+594x^139+522x^140+346x^141+498x^142+384x^143+112x^144+180x^145+42x^146+6x^147+6x^149+6x^150+6x^152+2x^153+2x^156+6x^157+6x^160+2x^168

The gray image is a code over GF(3) with n=621, k=8 and d=399.
This code was found by Heurico 1.16 in 2.64 seconds.