The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+31x^52+66x^53+99x^54+132x^55+145x^56+146x^57+162x^58+148x^59+112x^60+136x^61+112x^62+116x^63+101x^64+90x^65+109x^66+68x^67+61x^68+56x^69+50x^70+40x^71+21x^72+12x^73+9x^74+8x^75+8x^76+6x^77+3x^78

The gray image is a linear code over GF(2) with n=122, k=11 and d=52.
This code was found by an older version of Heurico in 0 seconds.