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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+154x^78+108x^81+54x^82+324x^85+184x^87+5022x^88+84x^90+432x^91+100x^96+36x^99+38x^105+14x^108+8x^114+2x^123

The gray image is a code over GF(3) with n=396, k=8 and d=234.
This code was found by Heurico 1.16 in 5.84 seconds.