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

generates a code of length 68 over Z9 who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+54x^136+12x^138+8x^141+2x^144+4x^150

The gray image is a code over GF(3) with n=204, k=4 and d=136.
This code was found by Heurico 1.16 in 0.0338 seconds.