The generator matrix

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

generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+78x^65+302x^66+560x^67+775x^68+994x^69+912x^70+1360x^71+1297x^72+1482x^73+1288x^74+1436x^75+1162x^76+1232x^77+933x^78+852x^79+564x^80+440x^81+310x^82+172x^83+99x^84+74x^85+29x^86+20x^87+4x^88+4x^89+2x^90+2x^92

The gray image is a linear code over GF(2) with n=296, k=14 and d=130.
This code was found by Heurico 1.13 in 4.45 seconds.