remove part of name of multiple files in linux : 
I have several fastq.gz files in a directory. I want to delete parts of each file name. Here are the file names

    RES_1448_001_S289_L001_R1_001.fastq.gz
    RES_1448_001_S289_L001_R2_001.fastq.gz
    RES_1448_012_S300_L001_R1_001.fastq.gz
    RES_1448_012_S300_L001_R2_001.fastq.gz

I want to remove S and 3 digits after it. I expect this after removing

    RES_1448_001_R1_001.fastq.gz
    RES_1448_001_R2_001.fastq.gz
    RES_1448_012_R1_001.fastq.gz`enter code here`
    RES_1448_012_R2_001.fastq.gz
Thank you 