Prime p₀= 2005746347660701769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: vaughan
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2005745262667324459	0 24 40 42 64 84 112 120 142 150 178 198 220 222 238 262	-1084993377310
SPT(16)	2005745266867552759	0 28 42 54 124 138 162 202 420 460 484 498 568 580 594 622	-1080793149010
STPT(10)	2005745638409521829	0 2 18 20 30 32 42 44 60 62	-709251179940
STPT(10)	2005745733627062627	0 2 30 32 72 74 114 116 144 146	-614033639142
STPT(10)	2005745799047769809	0 2 18 20 30 32 42 44 60 62	-548612931960
STPT(10)	2005746014798123861	0 2 6 8 48 50 90 92 96 98	-332862577908
STPT(10)	2005746513848722031	0 2 30 32 78 80 126 128 156 158	166188020262
SPT(16)	2005746518862816133	0 24 60 66 88 96 108 126 178 196 208 216 238 244 280 304	171202114364
SPT(16)	2005746545593817281	0 28 40 52 166 180 192 258 310 376 388 402 516 528 540 568	197933115512
STPT(10)	2005746918521706317	0 2 24 26 42 44 60 62 84 86	570861004548
SPT(16)	2005746930436231483	0 34 96 100 144 156 186 274 306 394 424 436 480 484 546 580	582775529714