For instance, on Jun Da's table. 高 (tall) is listed at 134, while 矮 (short) is listed at 2027, 新 (new) is listed at 161, and 旧 (old) is listed at 915. It's worth noting that 老 (old) is listed at 179.
An exceptions to the rule includes 近 (near) and 远 (far) (374 and 386 respectively). You might also consider 大 (17) 小 (83) an exception; they are only 66 slots apart.
Is this because of a Chinese preference for the more positive quality, even though in theory, they should be "symmetrical?"