The generator matrix

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

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+372x^72+316x^74+108x^76+64x^78+43x^80+92x^82+2x^84+8x^86+16x^88+2x^92

The gray image is a linear code over GF(2) with n=300, k=10 and d=144.
This code was found by Heurico 1.16 in 15.6 seconds.