The generator matrix

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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+64x^45+60x^47+240x^48+54x^49+198x^50+464x^51+1242x^52+252x^53+2348x^54+4374x^55+348x^56+3836x^57+4320x^58+396x^59+716x^60+216x^61+180x^62+234x^63+24x^65+62x^66+44x^69+8x^72+2x^75

The gray image is a code over GF(3) with n=252, k=9 and d=135.
This code was found by Heurico 1.16 in 0.793 seconds.