The generator matrix

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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+122x^48+282x^50+224x^51+162x^52+408x^53+1290x^54+972x^55+1218x^56+4404x^57+1944x^58+1284x^59+4404x^60+1296x^61+942x^62+256x^63+240x^65+144x^66+48x^69+28x^72+10x^75+4x^78

The gray image is a code over GF(3) with n=261, k=9 and d=144.
This code was found by Heurico 1.16 in 0.838 seconds.