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

generates a code of length 41 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+82x^72+162x^73+168x^74+324x^75+558x^76+396x^77+724x^78+1572x^79+1260x^80+1634x^81+5466x^82+1764x^83+1764x^84+1926x^85+582x^86+262x^87+354x^88+108x^89+234x^90+132x^91+84x^92+54x^93+36x^94+12x^95+16x^96+2x^99+6x^105

The gray image is a code over GF(3) with n=369, k=9 and d=216.
This code was found by Heurico 1.16 in 1.19 seconds.