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  1  1  1  1  1
 0  X  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  X  0  X  0  X  0  X  X  X  0  0  X
 0  0  X  0  0  0  0  X  0  0  X  X  0  X  X  0  X  X  X  X  X  X  0  0  X  X  X  X  0
 0  0  0  X  0  0  0  X  X  X  X  0  0  X  0  X  X  0  X  X  0  X  X  X  0  X  0  0  X
 0  0  0  0  X  0  X  0  X  X  0  0  0  X  X  X  0  0  X  0  X  X  0  0  X  X  X  0  0
 0  0  0  0  0  X  X  0  0  X  0  X  X  X  X  0  X  0  0  X  0  0  X  X  0  X  X  X  0

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+7x^26+24x^28+64x^29+24x^30+7x^32+1x^58

The gray image is a linear code over GF(2) with n=58, k=7 and d=26.
This code was found by Heurico 1.16 in 0.00596 seconds.