The generator matrix

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

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+59x^32+56x^33+192x^34+294x^35+505x^36+540x^37+866x^38+982x^39+1285x^40+1540x^41+1729x^42+2188x^43+2219x^44+2548x^45+2510x^46+2518x^47+2344x^48+2304x^49+1863x^50+1646x^51+1335x^52+980x^53+830x^54+482x^55+358x^56+196x^57+167x^58+80x^59+69x^60+28x^61+34x^62+2x^63+16x^64+1x^66+1x^72

The gray image is a linear code over GF(2) with n=92, k=15 and d=32.
This code was found by Heurico 1.16 in 76.6 seconds.