The generator matrix

 1  0  1  1  1 X^3+X^2+X  X  1  1 X^3+X^2  1  1  1  1  1  1 X^3  1 X^2+X  1  0  1  1  1  1 X^3+X^2  1  0  1
 0  1 X+1 X^2+X X^3+X^2+1  1  1 X^3 X^2+1  1 X^2+X+1 X^3+X^2+X X^3+1 X^3+X X+1 X^2+1  1 X^3+X^2  1 X^2  1 X^3+X+1 X^3+X^2+X+1  X  X  X X^2+X  0 X^2+X
 0  0 X^2  0 X^3+X^2 X^2 X^3+X^2 X^2 X^3  0 X^3+X^2 X^2 X^3  0 X^3 X^3 X^2  0  0 X^2  0 X^3+X^2 X^3 X^2 X^2 X^3  0 X^2 X^3
 0  0  0 X^3  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0  0  0  0  0 X^3 X^3 X^3 X^3  0  0 X^3  0  0  0
 0  0  0  0 X^3  0 X^3 X^3  0 X^3 X^3  0 X^3 X^3 X^3  0 X^3 X^3 X^3 X^3  0  0 X^3 X^3  0  0  0  0 X^3

generates a code of length 29 over Z2[X]/(X^4) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+126x^25+252x^26+620x^27+555x^28+1074x^29+460x^30+646x^31+238x^32+76x^33+24x^34+10x^35+5x^36+2x^37+2x^39+1x^40+2x^41+2x^43

The gray image is a linear code over GF(2) with n=232, k=12 and d=100.
This code was found by Heurico 1.16 in 0.219 seconds.