LFSR to generate a PRBS31 Test Pattern: Cannot figure out how to access the 28th tap point

I am designing a simple white noise generator using four cascaded TI CD4014B 8-Stage Static Shift Registers and one TI CD4030B Quad Exclusive-Or Gate. Since I need the PRBS31 Test Pattern, the 31st and 28th stages are the taps. The CD4014B only provides access to the three highest bits/stages: Q6, Q7, Q8.

Cascaded Shift Registers showing output buffers:

[-,-,-,-,-,Q6,Q7,Q8][-,-,-,-,Q14,Q15,Q16][-,-,-,-,-,Q22,Q23,Q24][-,-,-,-,Q30,Q31,Q32]

When I connect wires on my breadboard to implement the LFSR with XOR feedback, I need taps 28 and 31, but 28 is not available.

QUESTIONS:

1. Do I need to select a different shift register IC that provides access to stages 28 and 31?

2. If I must use the CD4014B, will I have to select a different PRBS Test Pattern that uses the following potential tap points? [Q6,Q7,Q8,Q14,Q15,Q16,Q22,Q23,Q24,Q30,Q31,Q32]

Thank you for your interest and help!