The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+34x^19+116x^20+254x^21+392x^22+574x^23+716x^24+910x^25+1209x^26+1386x^27+1626x^28+1720x^29+1650x^30+1560x^31+1297x^32+1016x^33+756x^34+498x^35+310x^36+186x^37+86x^38+42x^39+26x^40+10x^41+3x^42+2x^43+4x^44

The gray image is a linear code over GF(2) with n=58, k=14 and d=19.
This code was found by Heurico 1.10 in 3.34 seconds.