The generator matrix

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

generates a code of length 29 over Z9 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+152x^45+192x^48+246x^51+162x^52+242x^54+972x^55+270x^57+1944x^58+324x^60+1296x^61+312x^63+216x^66+126x^69+76x^72+24x^75+6x^78

The gray image is a code over GF(3) with n=87, k=8 and d=45.
This code was found by Heurico 1.16 in 3.88 seconds.