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

generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+17x^48+50x^52+32x^54+21x^56+6x^60+1x^104

The gray image is a linear code over GF(2) with n=106, k=7 and d=48.
This code was found by Heurico 1.16 in 0.031 seconds.