The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+288x^14+720x^15+1296x^16+1728x^17+9456x^18+5184x^19+13176x^20+18792x^21+5184x^22+2304x^23+900x^24+20x^27

The gray image is a code over GF(3) with n=90, k=10 and d=42.
This code was found by Heurico 1.16 in 70.5 seconds.