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

generates a code of length 29 over Z2[X]/(X^3) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+30x^25+38x^26+32x^27+90x^28+140x^29+92x^30+24x^31+28x^32+22x^33+6x^34+8x^35+1x^56

The gray image is a linear code over GF(2) with n=116, k=9 and d=50.
This code was found by Heurico 1.16 in 0.016 seconds.