The generator matrix

1 X 1 1 1 0 0 0 1 1 X 0 0 1 1 0 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 0 0 1
0 0 0 0 X X X 1 1 X+1 1 1 1 X X+1 X 0 X+1 X+1 1 0 X+1 1 X+1 1 0 0 1 X+1 X+1 1 X 0 1
X+1 1 X 1 0 1 0 1 X 1 0 X+1 0 0 0 1 X 0 X+1 1 X 0 1 X 0 1 1 0 X 1 1 1 1 X
0 0 X 1 1 1 1 1 0 X X+1 0 0 1 X X X X+1 X+1 0 X+1 1 X 1 X+1 X+1 0 X+1 0 X+1 X 0 0 0
0 0 0 X X X X X 0 0 X X X 0 X X X 0 0 X 0 X X 0 0 0 X X 0 0 0 0 X X

generates a code of length 34 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+32x^29+52x^30+68x^31+73x^32+52x^33+44x^34+36x^35+34x^36+26x^37+20x^38+14x^39+14x^40+16x^41+12x^42+8x^43+6x^44+2x^45+2x^47

The gray image is a linear code over GF(2) with n=68, k=9 and d=29.
This code was found by an older version of Heurico in 0 seconds.