The generator matrix

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

generates a code of length 74 over Z2[X]/(X^4) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+142x^65+888x^66+3016x^67+5340x^68+9426x^69+14220x^70+20856x^71+27516x^72+31998x^73+34821x^74+32242x^75+28356x^76+21256x^77+14106x^78+9194x^79+4569x^80+2342x^81+1032x^82+514x^83+192x^84+42x^85+18x^86+30x^87+10x^88+6x^89+3x^90+4x^91+4x^93

The gray image is a linear code over GF(2) with n=592, k=18 and d=260.
This code was found by Heurico 1.16 in 645 seconds.