The generator matrix

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

generates a code of length 48 over Z27 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+1266x^86+2346x^87+5058x^88+9054x^89+12304x^90+19422x^91+28596x^92+36888x^93+48654x^94+58686x^95+61398x^96+66060x^97+60798x^98+48730x^99+33984x^100+21372x^101+9174x^102+4698x^103+2250x^104+408x^105+186x^107+66x^108+36x^110+6x^113

The gray image is a code over GF(3) with n=432, k=12 and d=258.
This code was found by Heurico 1.16 in 365 seconds.