Prime p₀= 1413450667320436697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: MarkRBright
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1413449887371931301	0 2 6 8 48 50 90 92 96 98	-779948505396
STPT(10)	1413449964840006617	0 2 30 32 42 44 54 56 84 86	-702480430080
TPT(14)	1413450071682711911	0 2 6 8 30 32 78 80 90 92 330 332 366 368	-595637724786
SPT(16)	1413450169241096507	0 36 54 104 162 170 224 276 320 372 426 434 492 542 560 596	-498079340190
SPT(16)	1413450338222906947	0 12 42 54 112 124 126 150 166 190 192 204 262 274 304 316	-329097529750
SPT(16)	1413450466884195841	0 22 36 48 58 66 70 72 76 78 82 90 100 112 126 148	-200436240856
SPT(16)	1413450921725032207	0 54 70 76 120 132 160 244 252 336 364 376 420 426 442 496	254404595510
SPT(16)	1413451186962984509	0 8 20 48 84 92 140 152 240 252 300 308 344 372 384 392	519642547812
SPT(16)	1413451327110835907	0 20 42 56 66 110 126 152 180 206 222 266 276 290 312 332	659790399210
STPT(10)	1413451504616689007	0 2 30 32 42 44 54 56 84 86	837296252310
SPT(16)	1413451516281764431	0 40 42 52 96 160 162 168 190 196 198 262 306 316 318 358	848961327734