The generator matrix

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

generates a code of length 27 over Z27 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+168x^46+252x^47+304x^48+402x^49+684x^50+296x^51+2454x^52+1140x^53+6288x^54+4500x^55+1290x^56+390x^57+498x^58+378x^59+238x^60+210x^61+138x^62+14x^63+30x^64+6x^65+2x^75

The gray image is a code over GF(3) with n=243, k=9 and d=138.
This code was found by Heurico 1.16 in 0.766 seconds.