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

generates a code of length 26 over Z2[X]/(X^4) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+30x^24+98x^25+260x^26+92x^27+25x^28+2x^29+3x^30+1x^50

The gray image is a linear code over GF(2) with n=208, k=9 and d=96.
This code was found by Heurico 1.16 in 0.016 seconds.