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

generates a code of length 89 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+60x^174+36x^175+90x^176+148x^177+1548x^178+36x^179+194x^180+36x^181+36x^182+2x^267

The gray image is a code over GF(3) with n=801, k=7 and d=522.
This code was found by Heurico 1.16 in 0.332 seconds.