The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+108x^19+948x^20+812x^21+5316x^22+4224x^23+23714x^24+20394x^25+47142x^26+46372x^27+20592x^28+5892x^29+1258x^30+246x^31+114x^32+10x^33+4x^36

The gray image is a code over GF(3) with n=117, k=11 and d=57.
This code was found by Heurico 1.16 in 7.86 seconds.