The generator matrix

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

generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+41x^54+58x^55+161x^56+152x^57+215x^58+128x^59+242x^60+104x^61+238x^62+132x^63+185x^64+120x^65+132x^66+64x^67+41x^68+8x^69+8x^70+2x^71+5x^72+5x^74+4x^76+1x^84+1x^86

The gray image is a linear code over GF(2) with n=244, k=11 and d=108.
This code was found by Heurico 1.16 in 0.294 seconds.