The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+49x^24+30x^25+206x^26+208x^27+462x^28+574x^29+899x^30+1144x^31+1520x^32+1876x^33+2221x^34+2716x^35+2754x^36+3196x^37+2822x^38+2800x^39+2388x^40+1958x^41+1570x^42+1128x^43+815x^44+518x^45+415x^46+184x^47+185x^48+40x^49+49x^50+12x^51+16x^52+8x^54+1x^56+2x^58+1x^60

The gray image is a linear code over GF(2) with n=74, k=15 and d=24.
This code was found by Heurico 1.16 in 47.1 seconds.