The generator matrix

 1  0  0  0  1  1  1  1 X^3+X^2  1  1 X^3 X^3  1  X X^3+X X^2+X  1  1  0  1 X^2+X  1  1 X^3+X  1 X^3+X^2+X X^2  1  1  1  1 X^3+X^2  1 X^3+X  1 X^3 X^3+X^2 X^3  1  1 X^3+X^2  1  1  X  1  1  1  1  1  1  1 X^2 X^2+X  0 X^3+X^2 X^3 X^3+X^2+X  X X^3 X^3+X X^3  1  1  1  1 X^3+X^2  0 X^2+X  1  1  1 X^3+X^2+X  1  1
 0  1  0  0  X X^2+1 X^3+1 X^2  1 X^3+X+1 X^3+X^2+X  1  1 X^3+X^2+X+1  0 X^2+X  1  1 X+1  0 X^2  1 X^2+X+1 X^3+X  1 X^3  1  X X^2+1 X^3+X X^3+X+1 X^3+1  1 X^2  1 X^3+X^2+X+1 X^2+X  1  0 X^3+X^2+1 X^3+X^2 X^3+X^2 X^3+X  X  1  0 X^3+X^2+X+1  X X^3+X^2+1 X^3+X^2+X X^3+X X^3+X^2  1 X^3  1  1 X^2 X^3+X^2+X X^2+X X^2+X  0  1  1 X^2 X^3+X^2+X+1 X^3  1  0 X^3+X^2+X X^2 X^2+X+1 X^2+X X^2+X X+1 X^3
 0  0  1  0  0 X^2  1 X^2+1  1 X^2+1 X^3+1 X^3+X^2+X+1 X^2+X X^3+X  1 X^3+X X^3+X  0 X^3+X+1  1 X^3+X X^3+X^2 X^3+X^2 X^2+X+1 X^3+X+1 X^2 X^3+X^2+1  1 X^3+X^2+1 X^3+X^2+X+1 X^2 X^3+1 X^2+X+1 X^3+X^2  0 X^2+X+1  1 X^3 X^3+X^2+X X^2+X X^3+1  1 X^3+X X^3 X^2+X X^3+1 X^3  0 X^3+X^2+X+1 X^3+X X^2+1 X^3+X^2+X+1 X+1 X^3+X^2+X  1 X^3+X+1  1  0  1 X^3+X^2  1 X^3+X^2 X^3+X^2+1 X^3+X^2+X+1 X+1 X^3+X^2+1 X^2+X+1  X  1 X^3+X^2+X+1 X^3+X^2+X+1  0  1 X^2+X X^3
 0  0  0  1  1 X^2+X+1 X^2 X^3+X^2+X+1 X^2+X+1 X^2+1 X^3+X X^3+X^2+X X+1 X^3+X^2+X X^3+X+1  1 X^3+X+1 X^3+X^2+1 X^3+X^2+X+1 X^3+X^2+X X^2+X+1 X^2+X X^3 X^3+X^2+1 X^3+1 X^3+X  0 X^3+1  X  0 X^3+X X^3+X+1 X^2+X+1 X^3+X^2+X+1 X^2 X^2 X^3+1  1  1 X+1 X^2+1 X^3+X^2+X+1 X^3+X^2 X^3+X X^3+X^2+X X^2+X X^3+1 X^3+X^2 X^3+X^2+X+1 X^2+X+1 X+1 X^3+X^2+1 X^3+X^2+X  1 X^3+1 X^2 X^3+X^2  1  0  1 X^2  1 X^3+X+1 X^2+1 X+1 X^2+1 X^3+1  1  X X^2 X^2 X+1 X+1 X^3+X X^2
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^3+X^2 X^2 X^3+X^2 X^3+X^2  0 X^2 X^3+X^2  0 X^3+X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3 X^2 X^3+X^2 X^3+X^2  0 X^2 X^2 X^3+X^2 X^3+X^2 X^3  0 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3  0  0 X^2  0  0 X^3+X^2  0 X^3+X^2 X^2 X^2 X^2 X^2 X^2 X^3  0 X^3+X^2 X^3 X^3 X^3+X^2 X^3 X^3+X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2

generates a code of length 75 over Z2[X]/(X^4) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+154x^66+1030x^67+2719x^68+5724x^69+9464x^70+15088x^71+20282x^72+27818x^73+31124x^74+33476x^75+32730x^76+28822x^77+21320x^78+14852x^79+8448x^80+4852x^81+2228x^82+1176x^83+470x^84+222x^85+54x^86+40x^87+17x^88+14x^89+6x^90+2x^91+5x^92+4x^93+2x^94

The gray image is a linear code over GF(2) with n=600, k=18 and d=264.
This code was found by Heurico 1.16 in 663 seconds.