Connector for Q10 keyboard is a Hirose BM14B(0.8)-24DS-0.4V(53) Digikey PN H122178CT-ND
The custom breakout board is from reply #20 of this forum post:
https://www.eevblog.com/forum/beginners/how-to-connect-to-a-very-very-challanging-blackberry-q10-keyboard-connector/
Columns and rows associated with their pin on custom breakout board in the keyboard matrix of the Q10 keyboard:

           COL1  COL2  COL3  COL4  COL5
           PIN7  PIN9  PIN10 PIN17 PIN19 
ROW1 PIN6  Q     E     R     U     O
ROW2 PIN8  W     S     G     H     L
ROW3 PIN18 sym   D     T     Y     I
ROW4 PIN20 A     P     sh2   ret   bck
ROW5 PIN21 alt   Z     V     B     $
ROW6 PIN22 spc   X     C     N     M
ROW7 PIN27 mike  sh1   F     J     K