Use date
to put into seconds, then subtract. Then parse out minutes and seconds:
$ var1=170607162400
$ var2=170607162410
$ var="$var1"
$ date1="20${var:0:2}/${var:2:2}/${var:4:2 {var:6:2}:${var:8:2}:${var:10:2}"
$ var="$var2"
$ date2="20${var:0:2}/${var:2:2}/${var:4:2} ${var:6:2}:${var:8:2}:${var:10:2}"
$ sec1=$( date -d "$date1" '+%s' )
$ echo $sec1
1496867040
$ sec2=$( date -d "$date2" '+%s' )
$ echo $sec2
1496867050
$ dt=$(( sec2 - sec1 ))
$ echo $dt
10
$ min=$(( dt/60 ))
$ sec=$(( dt - 60*min ))
$ minsec=$( printf "%02d:%02d" "$min" "$sec" )
$ echo "$minsec"
00:10
If you need hours, too, change those last lines like so:
$ hrs=$(( dt/3600 ))
$ min=$(( (dt - 3600*hrs) / 60 ))
$ sec=$(( dt - 3600*hrs - 60*min ))
$ hms=$( printf "%d:%02d:%02d" "$hrs" "$min" "$sec" )