The generator matrix

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

generates a code of length 24 over Z27 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+48x^47+174x^48+12x^51+2x^54+6x^56

The gray image is a code over GF(3) with n=216, k=5 and d=141.
This code was found by Heurico 1.16 in 0.00311 seconds.