The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+282x^68+321x^72+208x^76+85x^80+82x^84+39x^88+4x^92+2x^96

The gray image is a linear code over GF(2) with n=148, k=10 and d=68.
This code was found by Heurico 1.16 in 44.1 seconds.