The generator matrix

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

generates a code of length 26 over Z2[X]/(X^4) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+38x^25+69x^26+4x^27+7x^28+2x^29+3x^30+4x^33

The gray image is a linear code over GF(2) with n=208, k=7 and d=100.
This code was found by Heurico 1.16 in 3.62e-008 seconds.