The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1  1  1  9  6  9  6 12 12  1  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 16 20  1 24 19 23  1  9 12  6 16 13 10  8 11  5  9 12  1  1  1  1  1  1  9  6  0 21 12
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  9  0 18 18  9  0 18 18  9  0 18 18  0  9 18  0  9 18  9  9 18 18  0  0  9  0  9  9  0 18

generates a code of length 46 over Z27 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+420x^89+374x^90+666x^92+216x^93+324x^95+132x^96+48x^98+2x^102+4x^111

The gray image is a code over GF(3) with n=414, k=7 and d=267.
This code was found by Heurico 1.16 in 82.4 seconds.