The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+406x^84+354x^85+2136x^86+2738x^87+2748x^88+5940x^89+4448x^90+5022x^91+8556x^92+6938x^93+5502x^94+7134x^95+3566x^96+1374x^97+1452x^98+510x^99+36x^100+48x^101+72x^102+30x^103+30x^105+6x^107+2x^114

The gray image is a code over GF(3) with n=414, k=10 and d=252.
This code was found by Heurico 1.16 in 5.14 seconds.