The generator matrix

 1  0  0  1  1  1 21  1  1  1  1  1  1 15  1  1  1  1 24  1 24  1  1  1 15 12  1  1
 0  1  0 15  1 16  1  0 14 17 26 24  4  1 23 21 22  7  1 21  1 18 14 16  9  1 26 19
 0  0  1 25  1 15 14 26 19 20  0  9  6 21 15 14 11 23 23 17 22 16  5 25  1 19 20  2
 0  0  0 18 18 18  0  9  0  9 18  9  0  9  9  0  9 18 18 18  9  9 18  0 18 18  0  0

generates a code of length 28 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+252x^49+696x^50+2046x^51+2736x^52+3150x^53+7354x^54+7236x^55+7404x^56+12528x^57+7146x^58+4092x^59+3084x^60+1044x^61+180x^62+14x^63+54x^64+30x^65+2x^72

The gray image is a code over GF(3) with n=252, k=10 and d=147.
This code was found by Heurico 1.16 in 2.72 seconds.