The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+134x^66+96x^67+270x^68+312x^69+589x^70+488x^71+464x^72+752x^73+704x^74+856x^75+588x^76+656x^77+521x^78+536x^79+344x^80+304x^81+257x^82+72x^83+93x^84+24x^85+69x^86+22x^88+24x^90+8x^92+5x^94+1x^96+1x^98+1x^100

The gray image is a linear code over GF(2) with n=300, k=13 and d=132.
This code was found by Heurico 1.16 in 7.56 seconds.