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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+88x^84+186x^85+134x^87+414x^88+142x^90+1050x^91+2916x^92+150x^93+1002x^94+84x^96+114x^97+72x^99+84x^100+32x^102+54x^103+12x^105+12x^106+10x^108+2x^114+2x^132

The gray image is a code over GF(3) with n=414, k=8 and d=252.
This code was found by Heurico 1.16 in 0.205 seconds.