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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+228x^88+216x^89+194x^90+336x^91+396x^92+172x^93+348x^94+180x^95+12x^96+12x^97+18x^98+12x^99+24x^100+12x^102+12x^103+12x^106+2x^120

The gray image is a code over GF(3) with n=414, k=7 and d=264.
This code was found by Heurico 1.16 in 76.2 seconds.