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

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

Homogenous weight enumerator: w(x)=1x^0+22x^150+36x^151+144x^152+24x^153+1710x^154+144x^155+18x^156+36x^157+36x^158+12x^159+2x^162+2x^231

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 0.26 seconds.