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

generates a code of length 92 over Z27 who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+438x^177+18x^178+674x^180+270x^181+486x^182+1050x^183+864x^184+972x^185+980x^186+306x^187+150x^189+120x^192+92x^195+82x^198+36x^201+20x^204+2x^261

The gray image is a code over GF(3) with n=828, k=8 and d=531.
This code was found by Heurico 1.16 in 9.12 seconds.