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  1  3 24
 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 14  0 10  1 10 18  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 15 18 21  3  6 24 18

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

Homogenous weight enumerator: w(x)=1x^0+438x^133+774x^134+366x^135+1110x^136+930x^137+256x^138+606x^139+522x^140+192x^141+540x^142+444x^143+56x^144+204x^145+72x^146+8x^147+6x^148+2x^150+12x^151+6x^152+6x^155+4x^159+6x^162

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 150 seconds.