I assume the dimensions you gave are for interior (sleeping) quarters? If that's the case – you will have hard time finding something light. All the truly light-weight options are smaller than 60×90. There are some that are close, some that match or exceed, but they are not super-light.
If you want very light – MSR Carbon Reflex 2 or Big Agnes Copper Spur UL 2. BA is slightly bigger, but it's floor is tapered at the feet area. There are people on here who have one or the other and love them. I'm using MSR Hubba (1man) tent for solo, but it weights same as MSR CR2, yet has less space.
There are some other choices, but they are less common and i'm not sure about their warranty terms. I've seen people contact Cascade Designs (MSR manufacturer) and get great service and even free part repair or replacement for out of warranty issues. Don't have any first or even second hand experience with service at BA though.
I have a new MSR CR2 for sale by the way in case you are interested in one.