Here's another solution:
041 005 007 071 003
013 023 029 031 067
059 053 043 047 037
019 011 089 061 017
079 101 083 097 073
Rows: 127,163,239,197,433
Columns: 211,193,251,307,197
Diagonals: 241,167
(Standard deviation: 76.7)
An alternative measure is simply mini-max: minimize the largest sum.
By that measure, lavalamp's solution is a better one.
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