The generator matrix

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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+1050x^82+1848x^83+5296x^84+8274x^85+11394x^86+19944x^87+29328x^88+33000x^89+49620x^90+63582x^91+59700x^92+67832x^93+65958x^94+44082x^95+35154x^96+20562x^97+8064x^98+4538x^99+1608x^100+294x^101+72x^102+126x^103+36x^104+30x^105+24x^106+12x^107+6x^108+6x^110

The gray image is a code over GF(3) with n=414, k=12 and d=246.
This code was found by Heurico 1.16 in 346 seconds.