The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+30x^37+68x^38+176x^39+302x^40+556x^41+639x^42+720x^43+1117x^44+1332x^45+1573x^46+1828x^47+2007x^48+2170x^49+2424x^50+2528x^51+2443x^52+2382x^53+2178x^54+1972x^55+1676x^56+1300x^57+1044x^58+780x^59+515x^60+364x^61+235x^62+168x^63+118x^64+54x^65+28x^66+20x^67+13x^68+4x^69+1x^74+2x^78

The gray image is a linear code over GF(2) with n=102, k=15 and d=37.
This code was found by Heurico 1.16 in 93.7 seconds.