The generator matrix

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

generates a code of length 46 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+420x^89+374x^90+666x^92+216x^93+324x^95+132x^96+48x^98+2x^102+4x^111

The gray image is a code over GF(3) with n=414, k=7 and d=267.
This code was found by Heurico 1.16 in 80.9 seconds.