The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+51x^64+82x^65+204x^66+352x^67+433x^68+626x^69+843x^70+1016x^71+1192x^72+1324x^73+1455x^74+1430x^75+1436x^76+1396x^77+1114x^78+936x^79+771x^80+570x^81+377x^82+308x^83+158x^84+90x^85+79x^86+48x^87+38x^88+8x^89+17x^90+6x^91+12x^92+4x^94+3x^96+3x^98+1x^100

The gray image is a linear code over GF(2) with n=300, k=14 and d=128.
This code was found by Heurico 1.16 in 18.8 seconds.