Prime p₀= 2367632009670190997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: ChUcK
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2367630253646213047	0 4 10 16 46 72 94 126 160 192 214 240 270 276 282 286	-1756023977950
STPT(10)	2367630566991462581	0 2 6 8 48 50 90 92 96 98	-1442678728416
TPT(14)	2367630750882337487	0 2 24 26 54 56 72 74 120 122 150 152 294 296	-1258787853510
SPT(16)	2367630821594660473	0 40 64 70 78 106 108 150 304 346 348 376 384 390 414 454	-1188075530524
TPT(14)	2367631094925802637	0 2 42 44 72 74 84 86 150 152 162 164 180 182	-914744388360
SPT(16)	2367631224927438091	0 6 46 70 96 100 102 138 160 196 198 202 228 252 292 298	-784742752906
STPT(12)	2367632081709529889	0 2 18 20 132 134 168 170 282 284 300 302	72039338892
STPT(10)	2367632145916313369	0 2 42 44 60 62 78 80 120 122	136246122372
STPT(10)	2367632261676139487	0 2 12 14 42 44 72 74 84 86	252005948490
STPT(10)	2367632420708424809	0 2 30 32 60 62 90 92 120 122	411038233812
STPT(10)	2367632452022008139	0 2 48 50 90 92 132 134 180 182	442351817142