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

generates a code of length 77 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+20x^150+78x^151+306x^152+14x^153+1158x^154+474x^155+40x^156+42x^157+24x^158+4x^159+18x^160+6x^161+2x^228

The gray image is a code over GF(3) with n=693, k=7 and d=450.
This code was found by Heurico 1.16 in 0.199 seconds.