The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^46+96x^47+62x^48+180x^49+204x^50+84x^51+234x^52+78x^53+4396x^54+162x^55+498x^56+22x^57+252x^58+66x^59+12x^60+90x^61+30x^62+2x^63+22x^66+12x^69+2x^72+2x^75

The gray image is a code over GF(3) with n=243, k=8 and d=138.
This code was found by Heurico 1.16 in 20.9 seconds.