The generator matrix

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

generates a code of length 23 over Z9 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+68x^36+120x^39+54x^40+98x^42+324x^43+100x^45+648x^46+108x^48+432x^49+98x^51+72x^54+42x^57+20x^60+2x^63

The gray image is a code over GF(3) with n=69, k=7 and d=36.
This code was found by Heurico 1.16 in 0.0344 seconds.