The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X  1
 0  X 2X  0 X+6 2X  0 X+6 2X  3 X+6 2X X+6  0 2X+3 X+3  0 2X+3  6 X+3  6 2X+3  X 2X+6  3  3 X+6
 0  0  3  0  0  0  3  6  3  3  6  3  3  3  0  0  3  6  6  6  6  3  0  0  3  6  0
 0  0  0  3  0  3  3  6  3  0  3  6  0  6  3  3  6  6  3  3  0  0  6  0  0  0  6
 0  0  0  0  6  6  3  6  6  3  6  0  0  0  3  0  6  3  6  0  3  6  6  6  0  3  0

generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+54x^46+96x^47+62x^48+180x^49+204x^50+84x^51+234x^52+78x^53+4396x^54+162x^55+498x^56+22x^57+252x^58+66x^59+12x^60+90x^61+30x^62+2x^63+22x^66+12x^69+2x^72+2x^75

The gray image is a code over GF(3) with n=243, k=8 and d=138.
This code was found by Heurico 1.16 in 20.7 seconds.