The generator matrix

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

generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+190x^74+483x^76+823x^78+1159x^80+1417x^82+1559x^84+1682x^86+1775x^88+1799x^90+1610x^92+1339x^94+1088x^96+703x^98+396x^100+198x^102+105x^104+32x^106+15x^108+4x^110+2x^114+1x^116+2x^118+1x^122

The gray image is a linear code over GF(2) with n=176, k=14 and d=74.
This code was found by Heurico 1.16 in 77.6 seconds.