The generator matrix

 1  0  0  1  1  1  X  1  1 X^2+X  1  1  X X^2+X  X  0  1  1  1  1 X^2+X X^2+X  1  1  1  1  0  0  1 X^2 X^2  1  1  1 X^2+X X^2  1 X^2+X  1 X^2  1  1  1 X^2+X  1  X X^2+X  1  1  1  1  1  1  1  1  1  0  1  X X^2+X  0  1  1 X^2  0  1  X  1  0  0 X^2 X^2+X  1
 0  1  0  X  1 X^2+X+1  1 X^2+X  0 X^2  1 X+1 X^2+X  1  1  1 X^2+X+1 X^2+X  0 X^2+1  1  1 X^2+1  X  0 X+1  1  0 X^2+X  1  X X^2+X+1 X^2  X  1  1 X^2+X+1 X^2+X  1  1 X^2+1 X^2+X X^2+1 X^2 X^2  1 X^2 X^2+X+1 X^2+X X+1 X^2 X^2+1 X^2+X+1 X^2+X+1 X^2+X  X  X X^2  0 X^2  1 X+1 X^2  1  1  0  1 X^2+X+1  1  1  X  X X^2+X+1
 0  0  1  1 X^2+X+1 X^2+X  1 X+1 X^2+X  1  1  0  1 X+1  X X+1  1 X^2 X^2+X+1 X^2+X  0  X  0  X X^2+1 X^2+X+1 X+1  1 X^2+X+1  1  1  1  X X^2+1 X^2+X+1 X^2 X^2+X+1  1 X^2 X^2+X X^2+X X^2+1 X+1  1 X^2 X^2+1  1  X X+1 X^2+X  0 X+1 X^2+X+1  1 X^2 X^2  1  0  1  1  1 X^2 X+1  0 X^2+X  X X+1 X^2+1 X^2+X+1 X^2+1  1  1  X
 0  0  0 X^2  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0  0 X^2  0  0  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2
 0  0  0  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+90x^65+211x^66+384x^67+512x^68+634x^69+734x^70+684x^71+678x^72+738x^73+689x^74+600x^75+566x^76+424x^77+388x^78+316x^79+195x^80+130x^81+69x^82+52x^83+26x^84+30x^85+14x^86+8x^87+6x^88+2x^89+7x^90+4x^91

The gray image is a linear code over GF(2) with n=292, k=13 and d=130.
This code was found by Heurico 1.16 in 3.75 seconds.