The generator matrix

 1  0  0  0  1  1  1 15  1  1  1  9  1  1  9  1  1  6  1  1  1  1  1  1  1  1  1  1
 0  1  0  0 18  1 16  1  3  6 14  1 25 26  1  5 24  1  4 25 12 11 19 17  0 15  2 21
 0  0  1  0 16 25 14 22 10 26 13 21 22 23  8  0 23  8 24 18  2 17 14 12 12  1  3 15
 0  0  0  1 14  9 17 20 22 21 12 16 10 19 14 15 25  4 10 20 11 17 16 23 20  0 16 18

generates a code of length 28 over Z27 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+426x^47+1112x^48+3678x^49+7308x^50+13052x^51+24540x^52+30432x^53+55844x^54+72342x^55+77910x^56+94052x^57+74958x^58+41394x^59+22636x^60+8994x^61+2346x^62+136x^63+162x^64+72x^65+32x^66+6x^67+6x^68+2x^72

The gray image is a code over GF(3) with n=252, k=12 and d=141.
This code was found by Heurico 1.16 in 188 seconds.