The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1 24  1  1  1 21  1  1  1  1  1  1 12  6  1  1  1  9  1  1  1  1  9  1  1  3  1  1  1  6  1  1  1 12  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  1  0  9 24  6  1  1  1  1  1  1  1  9  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  0 16 26  1 20 21  4  1 24 19 23  1  9 12 16 13  8 11  1  1  6 10  5  1  9  7  8 12  1 13 11  1  6 10 14  1  7  9 26  1  0 16  8  1 12 21  4 13 20 11 24  6 19 10  5 14  1  1  1  1 25 22  1 22 25 25 22  9  1  1
 0  0  9  0 18 18  9  9  9  0 18 18  9 18  9  9 18  0  0  0 18  9  0 18 18  9  0  9 18  0  0  9  0 18  9 18  9  0  9  0  9 18 18  0  9  0  9  0 18  0 18  9 18  9  0 18 18  9  9  0  0  9  0 18 18  9 18  0 18  0  9 18 18  0 18  9  9  0 18 18  9 18

generates a code of length 82 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+1100x^162+864x^165+54x^168+162x^171+6x^189

The gray image is a code over GF(3) with n=738, k=7 and d=486.
This code was found by Heurico 1.16 in 0.999 seconds.