mysql - Choosing one row over another, but not based on the where clause -

not quite sure how ask properly, perhaps part of problem. there exists database many similar records differentiated column called 'priority'. i'd grab record higher priority has same 'type' & 'project' id. example, table looks this:

id  project_id type_id  priority  1   66          14      0 2   66          14      10 3   66          16      0 

currently program selects via project , type:

select * table project_id = 66; 

and loops through results , discards lower priority record when there exists multiple records of same type_id. there way via select?

the ideal result set be:

id  project_id type_id  priority  2   66          14      10 3   66          16      0 

where discarded lower priority type_id 14 record. there may more 2 items same type_id in table.

select * table group project_id, type_id order priority desc