The generator matrix

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

generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+115x^64+348x^65+737x^66+904x^67+1475x^68+1720x^69+2058x^70+2086x^71+2798x^72+2572x^73+3035x^74+2790x^75+2915x^76+2162x^77+2117x^78+1566x^79+1313x^80+758x^81+551x^82+310x^83+198x^84+110x^85+67x^86+20x^87+17x^88+10x^89+8x^90+4x^91+2x^94+1x^98

The gray image is a linear code over GF(2) with n=296, k=15 and d=128.
This code was found by Heurico 1.16 in 49.6 seconds.