The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+32x^72+60x^74+22x^76+4x^78+5x^80+2x^84+2x^88

The gray image is a linear code over GF(2) with n=148, k=7 and d=72.
As d=72 is an upper bound for linear (148,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.0689 seconds.