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

generates a code of length 88 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+14x^171+54x^172+236x^174+216x^175+972x^176+456x^177+216x^178+16x^180+4x^183+2x^261

The gray image is a code over GF(3) with n=792, k=7 and d=513.
This code was found by Heurico 1.16 in 0.418 seconds.