The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1 24  1  1  1 21  1  1  1  1  1  1 12  6  1  1  1  9  1  1  1  1  9  1  1  3  1  1  1  6  1  1  1 12  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  3  9 24  6  1  1  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  0 16 26  1 20 21  4  1 24 19 23  1  9 12 16 13  8 11  1  1  6 10  5  1  9  7  8 12  1 13 11  1  6 10 14  1  7  9 26  1  0 21 24 12 16 13  4 19  6 10  8 20 11  5 14  1  1  1  1  1 18 18  3  3 18 21
 0  0  9  0 18 18  9  9  9  0 18 18  9 18  9  9 18  0  0  0 18  9  0 18 18  9  0  9 18  0  0  9  0 18  9 18  9  0  9  0  9 18 18  0  9  0  9  0 18  0 18  9 18  9  0 18  9  0  9 18 18  9  0  0  9 18  0 18 18  0  9 18  0  9 18  9 18 18

generates a code of length 78 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+426x^153+1512x^156+54x^159+188x^162+6x^180

The gray image is a code over GF(3) with n=702, k=7 and d=459.
This code was found by Heurico 1.16 in 0.194 seconds.