find CRC algorithm, having some input and output data pairs

Question

I'm trying to discover the algorithm of a lost software, there is an equipment that requiest some data, and validates the data using the "KEY", if you change any parameter of the data then you need a valid KEY.

The data is composed of 4 int values and the KEY is a HEX of 6-digits.

param1  param2      param3  param4  KEY
5669    30/06/2014  187769  960     0xA34108
5812    31/01/2015  233789  960     0xFAE094
5812    31/01/2015  233859  960     0x176471
6437    30/06/2015  368923  10000   0x35E6C2
6468    31/07/2015  398013  10000   0x404818
6161    30/09/2015  312581  960     0x9A59BC
6161    30/09/2015  311298  960     0xEC454C
6655    31/12/2016  448758  960     0x??????

I suspect the the algorithm is a type of CRC, because in the software you was able to enter something like a seed of 4-digits HEX in a field called CRC:

By the KEYs length I think it should be a CRC-24, but the software was using 4-lenght so is not the xor-in nor xor-out of the CRC-24.

I have tested on Python[crcmod] by bruteforce, all parameters combinations to use as input data and all combinations[0x000000-0xFFFFFF] of possible seed and xor-out for the CRC-24. I also tried to find the equation by curve-fitting but no luck, the relation seams unpredictable.

I know there are many CRC versions: polynomials, hash-tables, etc. Anyone have idea of the the CRC version or algorithm that could be used here?