The generator matrix

 1  0  1  1  1  0  1  1  1  0  1  1  X  1  1  1  0  1  1  X  1  1  1  1  1  0  X  1  1  1  X
 0  1  1  0  1  1 X+1 X+1  0  1 X+1  X  1 X+1  1  0  1  1  X  1  1 X+1 X+1 X+1  0  1  X  1  1 X+1  0
 0  0  X  0  0  0  X  0  X  X  X  X  X  0  X  X  X  X  X  X  0  X  X  0  0  0  0  X  0  0  0
 0  0  0  X  0  X  X  X  X  X  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  X  0  0
 0  0  0  0  X  0  X  X  0  0  X  0  0  X  X  0  0  X  0  0  X  0  0  0  X  X  X  0  X  X  X

generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+25x^28+52x^30+26x^32+12x^34+8x^36+3x^44+1x^48

The gray image is a linear code over GF(2) with n=62, k=7 and d=28.
This code was found by Heurico 1.16 in 0.00418 seconds.