The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+65x^48+90x^49+128x^50+194x^51+245x^52+254x^53+230x^54+232x^55+240x^56+258x^57+276x^58+276x^59+253x^60+250x^61+231x^62+230x^63+150x^64+140x^65+110x^66+80x^67+61x^68+32x^69+34x^70+10x^71+8x^72+14x^74+2x^75+1x^76+1x^78

The gray image is a linear code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.16 in 2.02 seconds.