A layout of 14x16 = 224 blocks. Half of them will be 4-patches and half will be alternates.
If your fabric is 42" (I think that is a safe baseline) you get 6 alternate blocks out of a 6.5" strip. [42:6.5=6.46]
112 blocks divided by 6 = 18.67 (you need 19 strips to get enough for the alternates)
19 strips x 6.5" = 123.5" or 3.43 yards. With shrinkage and miscuts, you need about 4 yards for the alternate blocks.
Now for the 4-patches.
Assuming you want to do the 4-patches from 4 colors:
Each stripe yields 12 squares (42" divided by 3.5")
112 blocks divided by 12 = 9.33 (10 stripes per color)
10 stripes X 3.5" = 35" or one yard
With shrinkage and mistcuts I would buy 1.25 yards of 4 different fabrics for the 4-patches.
Or a total of 4 yards (40 strips) in 3.5" strips.
THis calculation does not include any borders.