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

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

Homogenous weight enumerator: w(x)=1x^0+288x^151+306x^152+224x^153+792x^154+234x^155+116x^156+36x^157+2x^159+126x^160+54x^161+4x^168+4x^174

The gray image is a code over GF(3) with n=693, k=7 and d=453.
This code was found by Heurico 1.16 in 0.195 seconds.