Can random mutations cause an increase in information in the genome?

Or how about this?Let's assume that any "mutation" that doesn't create a readable sentence is thrown away but any mutation that leaves the sentence to be readable will stay in the "population".Ok:The quick brown fox jumped over the lazy dot.Still readable.The quiet brown fox jumped over the lazy dog.Still readable.The quick fox jumped over the lazy dog. [deleted brown]ditto.The quick brown fox jumped over the lazy brown dog.ditto (and part is duplicated, hmmmm.)The quick brown fox jumped over the stupid lazy dog.no problems here. Now can you imagine what would happen over time with the sentence as more mutations act upon it over time. Eventually it isn't going to be recognizable from what it was before.