The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  0  9  3  3 18  1  1  1  1  1  1
 0  3 24  9 21  6 18 12 15  0 21 24  9 12  6 18  3 15  0 21 24  9 12  6 18  3 15 21 24 12  6  3  3  3 15  3  0  9 18 21 12  3

generates a code of length 42 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+234x^84+4x^90+4x^99

The gray image is a code over GF(3) with n=378, k=5 and d=252.
This code was found by Heurico 1.16 in 0.0168 seconds.