The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  0  1  1  1  1  1  1  1  1  1  3  3  0  3  3  9  3  3  9  3  3  3  3  0  3  3  9  1  3  1
 0  3 24  0 21 24  9 21  6  9 12  6  9 12 24  0  3  6 18 18 21 12 15 15 18  3 15  0 21 24  0 21 24  9 12  6  9 12  6  9  0 21 12 24  6 21 24  3 18 18 18  3  3  3 15 15 15 21 24  3 12  6  3 12  6  3  0  9 21 24  3 12  6  3  0  9  9
 0  0  9  9 18 18 18  9  0  9  0  9  0  9  0 18 18 18  0  9  0 18  9 18 18  9  0  0 18  0 18  9  9  9  0 18 18  9  9  0  9  0 18 18  0 18  0  9  0  9 18 18  9  0  0  9 18  9  9  0  0 18 18  9  9  0 18 18  0 18 18 18  0  9  0  9  0

generates a code of length 77 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+162x^151+42x^153+378x^154+18x^156+54x^157+12x^159+54x^160+2x^162+6x^168

The gray image is a code over GF(3) with n=693, k=6 and d=453.
This code was found by Heurico 1.16 in 0.227 seconds.