The generator matrix

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

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+78x^61+155x^62+192x^63+190x^64+188x^65+180x^66+168x^67+214x^68+172x^69+131x^70+134x^71+93x^72+48x^73+46x^74+22x^75+5x^76+8x^77+10x^79+2x^80+2x^83+6x^84+2x^85+1x^92

The gray image is a linear code over GF(2) with n=268, k=11 and d=122.
This code was found by Heurico 1.16 in 0.384 seconds.