The generator matrix

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

generates a code of length 26 over Z2[X]/(X^4) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+42x^21+115x^22+220x^23+444x^24+774x^25+964x^26+768x^27+408x^28+190x^29+80x^30+36x^31+27x^32+18x^33+8x^34+1x^38

The gray image is a linear code over GF(2) with n=208, k=12 and d=84.
This code was found by Heurico 1.16 in 0.125 seconds.