The generator matrix

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

generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+53x^54+46x^55+170x^56+186x^57+499x^58+314x^59+1111x^60+480x^61+1825x^62+700x^63+2502x^64+728x^65+2546x^66+632x^67+1809x^68+468x^69+1053x^70+282x^71+476x^72+174x^73+133x^74+62x^75+61x^76+12x^77+19x^78+12x^79+11x^80+12x^82+3x^84+2x^86+2x^90

The gray image is a linear code over GF(2) with n=260, k=14 and d=108.
This code was found by Heurico 1.16 in 15.1 seconds.