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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+78x^178+276x^179+344x^180+168x^181+258x^182+484x^183+240x^184+276x^185+60x^186+2x^255

The gray image is a code over GF(3) with n=819, k=7 and d=534.
This code was found by Heurico 1.16 in 0.797 seconds.