The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3  3  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  0  9  0  9 18 18  9  0  9  0
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9  0 18  9 18  9 18  0
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9  0  9 18  9  9  0  9  9 18  0
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0 18  0  0  9 18  0 18  9 18  9

generates a code of length 27 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+80x^48+192x^51+1696x^54+166x^57+12x^60+2x^63+22x^66+12x^69+2x^72+2x^75

The gray image is a code over GF(3) with n=243, k=7 and d=144.
This code was found by Heurico 1.16 in 1.92 seconds.