The generator matrix
1 0 1 1 1 0 1 X^2+X 1 1 X^2+X 1 1 1 1 X 1 X^2 X^2+X 1 1 X X X 1 1 1 1 X^2 1 1 X
0 1 1 0 X^2+X+1 1 X 1 X^2+X+1 X 1 X+1 0 1 X^2+X 1 X^2+X+1 1 1 X^2+X X^2 1 1 1 0 0 X+1 X^2 1 0 X^2+X+1 1
0 0 X 0 X^2+X X 0 X 0 X X^2 X^2 X X^2+X X X^2+X X^2+X X X^2 0 X^2+X 0 X^2 X^2+X X^2 X 0 X X^2 0 0 X
0 0 0 X 0 X X X X^2+X 0 X^2 X^2 X^2+X X X X^2 X X^2 X^2+X 0 X^2 X 0 X^2+X X^2+X X^2 0 X^2+X X^2+X X^2 X X^2
0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0
generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.
Homogenous weight enumerator: w(x)=1x^0+332x^28+384x^30+648x^32+384x^34+264x^36+30x^40+4x^44+1x^48
The gray image is a linear code over GF(2) with n=128, k=11 and d=56.
This code was found by Heurico 1.16 in 21.6 seconds.