The generator matrix

 1  0  1  1  1  1  1 18  1 15  1  1  1  1  1 18  1  1 24  1  1 12  1 18  1  1  1  1
 0  1  1 26 18 25 26  1  0  1 26  1 21  1  8  1  4  0  1 19  2  1  6  3 23 16 26  0
 0  0 24  0 18  0 24 21  6  3 24  6 21 21  0  9 18 24 24  6 15  6 21 12 18 18 12 24
 0  0  0  3 12 12  9 15  0  9 15  3 12  9 24  3  9 24 15  6 12 12 24 18 18  6 15  9

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

Homogenous weight enumerator: w(x)=1x^0+198x^48+492x^49+924x^50+1646x^51+2352x^52+3252x^53+6752x^54+7020x^55+9006x^56+11866x^57+7032x^58+4548x^59+2320x^60+978x^61+204x^62+264x^63+90x^64+48x^65+38x^66+18x^67

The gray image is a code over GF(3) with n=252, k=10 and d=144.
This code was found by Heurico 1.16 in 3.45 seconds.