Understanding set/getsockopt SO_SNDBUF size doubles

You’re not doing anything wrong. Linux doubles the value (within the kernel) when you set it, and returns the doubled value when you query it. man 7 socket says:

[...]

    SO_SNDBUF
              Sets or gets the maximum socket send buffer in bytes.  The  ker-
              nel doubles this value (to allow space for bookkeeping overhead)
              when it is set using setsockopt(), and  this  doubled  value  is
              returned  by  getsockopt().   The  default  value  is set by the
              wmem_default sysctl and the maximum allowed value is set by  the
              wmem_max sysctl.  The minimum (doubled) value for this option is
              2048.
[...]

NOTES
       Linux assumes that half of the send/receive buffer is used for internal
       kernel structures; thus the sysctls are twice what can be  observed  on
       the wire.
[...]