The generator matrix

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

generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+279x^80+538x^82+376x^84+308x^86+218x^88+130x^90+67x^92+64x^94+42x^96+16x^98+8x^100+1x^108

The gray image is a linear code over GF(2) with n=340, k=11 and d=160.
This code was found by Heurico 1.11 in 0.718 seconds.