Hi, I unfortunately have an 01 GSR and 07 TL Type S, so this information does not truly apply, however, I do know how fast a TL or Integra can go.
If I run My GSR up to Redline in fourth, before shifting to fifth I can usually get it up to about 140mph (on a slight decline and in the morning)
MyType S has a 160 mph Speedo, so all I can say is that it is faster than 160mph.
Lando