The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1 21  1  1  1  0  1  1  1 24  1  1  1  9  1  1  1 21  1  1  6  1  1  1  1 12  1  1  1 21  1  1  1 12  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1 24  1  3  1
 0  1  7 26 21  4 20  1 24 23  1 19  0 20 16  1 21  4 26  1 24 19 23  1 12 16  5  1 10  6 26  1 11  0  1  4  8  9 13  1  0  4 26  1  8  9 13  1 21 12 24  9 21  3 12 24  6 16  7 19 13 16 25  7 19 10  6 13  9 10 20  1 23  1 15  9 12
 0  0  9  0 18 18  9  0  0  0  9 18 18  9  9  9 18  9  9  0  0 18  0  9 18  9  0  0 18  0  0  9  9  0  9  9  9 18 18  0 18 18  9  0  0  0  9  9  0  9 18  9  0  9  0 18 18 18  0  9  0 18  0 18  9  9  9  0  9  0 18 18 18 18  9 18  0
 0  0  0  9  0 18 18  9  9 18  9  9 18  0  9 18  9 18  9 18 18  0  0  0 18 18  9  9 18  0  0  0  9  9 18  9 18  0  0 18  9  9  0  0 18 18  0  9 18 18  0  0  9  9  0  9 18 18  9  9 18  9  0  0  0 18  0  9 18  0 18  0  9 18  9  0  0

generates a code of length 77 over Z27 who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+270x^148+504x^149+420x^150+678x^151+864x^152+372x^153+684x^154+792x^155+72x^156+450x^157+630x^158+294x^159+300x^160+108x^161+50x^162+36x^163+18x^164+12x^169+6x^186

The gray image is a code over GF(3) with n=693, k=8 and d=444.
This code was found by Heurico 1.16 in 0.317 seconds.