The generator matrix

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

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+197x^64+32x^65+451x^66+224x^67+779x^68+644x^69+1271x^70+948x^71+1645x^72+1236x^73+1772x^74+1188x^75+1544x^76+972x^77+1195x^78+668x^79+722x^80+188x^81+339x^82+44x^83+180x^84+69x^86+42x^88+22x^90+8x^92+1x^94+1x^100+1x^104

The gray image is a linear code over GF(2) with n=296, k=14 and d=128.
This code was found by Heurico 1.16 in 18.5 seconds.