It depends on your awk version (you probably have to use gawk instead of awk) or directly run date in your awk commandline, but
awk 'NR%13==0 { printf "%d %s\n", systime(), $0 ; fflush(stdout) }'
will print the current timestamp in front of the current line. For more information have a look at the gawk documentationgawk documentation about time functions.