Prime p₀= 2369603057197850657 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: kashi
db: batch=81, k=10, 2 28 2 10 2

STPT(12)	2369602484897004389	0 2 30 32 42 44 48 50 60 62 90 92	-572300846268
STPT(10)	2369602490733361727	0 2 30 32 42 44 54 56 84 86	-566464488930
TPT(14)	2369602515930700871	0 2 6 8 18 20 168 170 240 242 270 272 300 302	-541267149786
SPT(16)	2369602722591630649	0 58 78 90 142 160 198 322 330 454 492 510 562 574 594 652	-334606220008
TPT(14)	2369602888732203659	0 2 12 14 78 80 138 140 150 152 168 170 210 212	-168465646998
SPT(16)	2369602933646431897	0 12 66 96 112 154 166 250 276 360 372 414 430 460 514 526	-123551418760
SPT(16)	2369603166738800831	0 20 56 68 98 108 122 126 152 156 170 180 210 222 258 278	109540950174
SPT(16)	2369603332249487599	0 40 100 118 160 198 210 222 238 250 262 300 342 360 420 460	275051636942
STPT(10)	2369603743777303487	0 2 24 26 42 44 60 62 84 86	686579452830
TPT(14)	2369603942979513059	0 2 30 32 42 44 72 74 78 80 108 110 198 200	885781662402
SPT(16)	2369604158074810819	0 22 28 42 52 82 84 100 192 208 210 240 250 264 270 292	1100876960162