The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3  1 24  1  1  1 12 18  0  1  1  1  1  1 12  1  1 24  1 21  9  1  1  1  1 18  1 12  1  1  1  3  6  1 24  1 15  1  9  1  1  1 21  1  1  1  1 24  1  0  1  1  1 12  1  1  1  1  1  1 18  1  1  1  1  1 21
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1 16  1 11 24 17  1  1 15 20  3 15  2 10  1 17  3  1  4  1  1  9 23  8  2  1 19 18 16  6 22  3  1 15  1  5  3 18 12 10 12 23  1  9  4 24  5  1 22  1 20 16 19  1 26 10 11 13  3  5  1  6 26 22 25  9  1
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 14 13 10 26 11 14 12  1 12 25  0 15 24 17 13  4 12  2 25  2 14 12  7  8 15 19  1 17 25 22  1 19  6 14  2  1 20  1  2  9 15  6 10 19  4 23 18 16  5 16 25  4 20  8 26 13 17  2 16 19  5  3  0  4 11  2

generates a code of length 84 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+1364x^162+1356x^163+1662x^164+2384x^165+1812x^166+1110x^167+2096x^168+1296x^169+1014x^170+1664x^171+768x^172+570x^173+998x^174+534x^175+300x^176+434x^177+222x^178+36x^179+46x^180+6x^181+6x^182+2x^183+2x^186

The gray image is a code over GF(3) with n=756, k=9 and d=486.
This code was found by Heurico 1.16 in 60 seconds.