The generator matrix

 1  0  0  1  1  1  1  1  1 21  1  1  3  1  1  6  1  1  1 12  1  1 21  1  9  9  1 18
 0  1  0  1 18  0  1  2 16  1 14 14  1 21 11  1 22 18  5  1 21 17 21  5  1  1 12  0
 0  0  1 26 16 26  1 13 15 14 18 20  1  0 15  6 10 25 11 22 14  1  1 24  7  6  8  9
 0  0  0 24 18  6 15 21  0 18 12 24  6  6  9  3 18  3 21  9 12  0 15  6 21 24 21  3

generates a code of length 28 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+894x^48+1260x^49+2610x^50+4314x^51+8298x^52+11484x^53+17080x^54+23598x^55+27000x^56+28806x^57+24930x^58+14832x^59+7278x^60+3150x^61+936x^62+584x^63+90x^66+2x^72

The gray image is a code over GF(3) with n=252, k=11 and d=144.
This code was found by Heurico 1.16 in 28.6 seconds.