The generator matrix

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

generates a code of length 26 over Z2[X]/(X^4) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+162x^23+778x^24+768x^25+969x^26+550x^27+519x^28+192x^29+127x^30+20x^31+6x^32+4x^33

The gray image is a linear code over GF(2) with n=208, k=12 and d=92.
This code was found by Heurico 1.16 in 0.047 seconds.