The generator matrix

 1  0  0  1  1  1  X X^2+X  0 X^2  1  1  1  1  1  X  1 X^2+X  1
 0  1  0 X^2 X^2+1  1  1  1  1  X  X X+1 X^2+X  X  1  0 X^2 X^2  0
 0  0  1 X^2+X+1 X+1 X^2 X^2+1 X+1 X^2+X  1 X^2+X+1 X^2 X^2+1 X^2+X  1  X X^2+X  1  0

generates a code of length 19 over Z2[X]/(X^3) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+41x^16+100x^17+134x^18+34x^19+74x^20+50x^21+46x^22+6x^23+20x^24+2x^25+4x^26

The gray image is a linear code over GF(2) with n=76, k=9 and d=32.
This code was found by Heurico 1.16 in 0.0036 seconds.