IBM Ponder This 06-14 Solved

Credited with solving this puzzle (w/ extra credit!):

Ponder This Challenge:

Design 25 cubes so that each cube’s six faces display integer numbers in the range 0,1,…,31 such that:

  1. On each cube, all the numbers are different
  2. Any given two cubes share exactly one common number

Please give your answer as 25 lines of six numbers.

Bonus question: Use as small a range of numbers as possible.

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