The generator matrix

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

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+254x^68+366x^72+181x^76+126x^80+56x^84+22x^88+13x^92+5x^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 1.51 seconds.