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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+121x^48+422x^52+4x^54+774x^56+60x^58+1335x^60+760x^62+2668x^64+1656x^66+3081x^68+1332x^70+2080x^72+268x^74+1007x^76+16x^78+495x^80+224x^84+66x^88+9x^92+3x^96+1x^100+1x^108

The gray image is a linear code over GF(2) with n=134, k=14 and d=48.
This code was found by Heurico 1.16 in 59.4 seconds.