The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  X X^2 X^2 X^2  X  X  X  1  1  1
 0 X^3  0 X^3  0  0 X^3 X^3  0  0 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3  0 X^3  0 X^3  0 X^3  0
 0  0 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3  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+12x^25+40x^26+2x^28+4x^29+4x^30+1x^32

The gray image is a linear code over GF(2) with n=208, k=6 and d=100.
This code was found by Heurico 1.16 in 0.016 seconds.