The generator matrix

 1  0  1  1  1  1  1 18 21  1  1  1  1  1 24 15  1  1 21  1  1  1  1  1  1  1  1
 0  1  1 26 21 20 16  1  1  0 25 26 21 22  1  1 20  4  1 14 16  3  2  4  7 18 16
 0  0 24  0 18 18 15  3 15  6 12 24 15 21 15 21 24  9  0  3  9 12 21 18  6  3 21
 0  0  0  9  9  0 18  9 18 18 18  9  9  0  0  0 18 18  9  9  9  0  9  0  9 18 18

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

Homogenous weight enumerator: w(x)=1x^0+454x^48+72x^49+1224x^50+1730x^51+918x^52+3456x^53+3646x^54+1836x^55+3996x^56+1794x^57+90x^58+72x^59+322x^60+70x^63+2x^66

The gray image is a code over GF(3) with n=243, k=9 and d=144.
This code was found by Heurico 1.16 in 0.402 seconds.