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  1  1  1  1
 0  3  0  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  0  3  3
 0  0  3  6  6  3  0  3  6  0  3  6  3  6  0  0  3  6  0  3  6  3  6  0  0  3  6  0  3  6  3

generates a code of length 31 over Z9 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+12x^60+54x^62+8x^63+4x^66+2x^93

The gray image is a code over GF(3) with n=93, k=4 and d=60.
This code was found by Heurico 1.16 in 0.00299 seconds.