The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+246x^48+240x^49+312x^50+784x^51+936x^52+966x^53+2094x^54+2862x^55+1794x^56+3580x^57+2772x^58+1038x^59+926x^60+378x^61+240x^62+344x^63+90x^64+24x^65+44x^66+12x^67

The gray image is a code over GF(3) with n=252, k=9 and d=144.
This code was found by Heurico 1.16 in 0.972 seconds.