Based on the
Twitter Data, there have been 3 matches with 70 climb points on an alliance. I'm not sure how interfering with a climb is listed in the twitter data, so it's possible that could have happened.
Code:
day month year time event QE match RScore BScore Red1 Red2 Red3 Blue1 Blue2 Blue3 RClimb BClimb RFoul BFoul RAuto BAuto RTeleOp BTeleOp
2 Mar 2013 9:24:57 NHMA Q 63 96 142 1277 885 3360 131 3609 610 70 30 0 0 18 34 8 78
16 Mar 2013 13:34:51NCRE E 8 88 87 2059 1539 2655 3196 3319 2642 50 70 0 0 18 6 19 11
22 Mar 2013 16:27:17WIMI Q 55 65 127 2358 1714 2039 1259 2481 4143 50 70 0 3 0 34 15 20
The bottom two are also the maximum combined climb score (120).