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

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

Homogenous weight enumerator: w(x)=1x^0+444x^48+162x^50+1204x^51+486x^52+972x^53+2826x^54+1944x^55+1944x^56+4292x^57+1944x^58+1296x^59+1510x^60+562x^63+86x^66+4x^69+4x^72+2x^75

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 2.76 seconds.