If I'm reading correctly, your "next row" which you noted is a K row, you will increase a stitch at each end to take you to 88 sts. If doing stockingnette st where you purl a row, knit a row, etc. Then you will purl the next row (after your first increase row) and NOT make any increases. On your next K row you will increase again as previously done. Purl the next row, on next knit row you will again increase... Basically you will increase on your FIRST knit row and then the next five knit rows (which are your alternate rows). Hope that helps... I'm sure someone will come on here to comment on/correct what I've written.
Best of luck to you!
OTN: my first attempt at any type of mitten - doing fingerless
Oh...and I'm heajames on Ravelry