Yes, the transceiver actually reduces the maximum cable length.
This reduction is due to the maximum power draw of an SFP+ module of 2 Watt and considerable power requirements for 10GBASE-T requiring considerable power because of the frequency-dependent attenuation in copper. (Depending on the host device, the limit may also be 1 or 1.5 W, which usually means no support for 10GBASE-T.)
However, there are special 3rd-party SFP+ modules that claim to reach 80 or even 100 m. You might want to verify the compatibility and the capabilities with the vendor.
If those modules can't meet your requirements you might want to consider 10GBASE-SR over multi-mode fiber which uses much less power and reaches 300 m over OM3.
The only other solution is to use a switch with native 10GBASE-T ports - these support the standard reach of 100 m over Cat 6A cable.
And the standard does not specify any longer reach with better cabling like Cat 8.