The generator matrix

 1  0  1  1  1  1  1  3  1  1  1  1  1  1  1
 0  1  7  8  3  4  2  1  6  1  5  0  3  7  4

generates a code of length 15 over Z9 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+36x^29+22x^30+18x^32+2x^36+2x^39

The gray image is a code over GF(3) with n=45, k=4 and d=29.
This code was found by Heurico 1.13 in 0.015 seconds.