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

generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+205x^72+434x^74+892x^76+990x^78+1435x^80+1584x^82+1764x^84+1746x^86+1901x^88+1596x^90+1482x^92+922x^94+726x^96+344x^98+226x^100+54x^102+50x^104+10x^106+18x^108+2x^112+2x^116

The gray image is a linear code over GF(2) with n=172, k=14 and d=72.
This code was found by Heurico 1.16 in 59.6 seconds.