The generator matrix

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

generates a code of length 29 over Z9 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+50x^36+236x^39+522x^42+790x^45+54x^46+1214x^48+648x^49+1908x^51+3240x^52+2424x^54+8640x^55+2902x^57+12960x^58+2964x^60+10368x^61+2638x^63+3456x^64+1876x^66+1164x^69+638x^72+244x^75+84x^78+20x^81+8x^84

The gray image is a code over GF(3) with n=87, k=10 and d=36.
This code was found by Heurico 1.16 in 22.6 seconds.