I found a lot of topics on the internet about this subject and no one solved my issue
I tried to change SD library version, no change.
I tried to change Ardunio IDE version, no change.
I tried to set pinCS to 14 (because on the arduino mini pinout it is physical pin 14), no change.
I did not format my SD card (In fact, I've done it with my Android smartphone cause I don't have any microSD adaptater for my computer but I couldn't choose the format...). It should be in FAT32 no ?
I can vouch for any other method, but know that using this formatter worked to solve my initialization issues in the past. Even if the card had been formatted from the box and readable in the computer, didn't guarantee the Arduino can read it.