The generator matrix

 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  3  3  0  0  0
 0  3  0  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  0  0  3  3  6  6  3  6  3  3  3
 0  0  3  6  6  3  0  3  6  0  3  6  3  6  0  0  3  6  0  3  6  6  3  0  3  0  6  0  3  6

generates a code of length 30 over Z9 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+72x^60+4x^63+4x^72

The gray image is a code over GF(3) with n=90, k=4 and d=60.
This code was found by Heurico 1.16 in 0.00398 seconds.