I addressed this in this question. I basically state that not only is cardio not killing muscle gains, but not doing cardio would possible hold you back.
The things that could hurt your progress to gainggain muscle are:
Not eating enough which you've stated you are actively trying to avoid.
Spending too much time running and not enough time lifting. There's a limit number of hours in the day and sometimes you have to pick one over the other.
Being too tired and exhausted to fully complete a workout. To gain mass you need to practice progressive overload which means lifting heavier weights more often over time. Excessive cardio can tire you out which could hinder progress.
Although, what you've stated doesn't sound to be that much. If you can do it five days in a row, then it doesn't sound very intense to you. You should be just fine as long as you're getting the appropriate calories.