Prime p₀= 745657627184238911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=73, k=10, 2 4 2 10 2

STPT(10)	745656525117412451	0 2 6 8 48 50 90 92 96 98	-1102066826460
TPT(14)	745656834420740939	0 2 48 50 72 74 90 92 168 170 210 212 240 242	-792763497972
SPT(18)	745657168887703379	0 2 30 62 110 140 224 264 282 290 308 348 432 462 510 542 570 572	-458296535532
SPT(13)	745657312972895461	0 12 78 90 120 138 150 162 180 210 222 288 300	-314211343450
SPT(16)	745657512764542957	0 46 66 82 96 102 106 112 144 150 154 160 174 190 210 256	-114419695954
STPT(10)	745657555351766051	0 2 36 38 78 80 120 122 156 158	-71832472860
SPT(16)	745657815403129067	0 32 74 80 126 132 152 162 164 174 194 200 246 252 294 326	188218890156
SPT(16)	745657911577129357	0 4 16 22 46 60 94 126 130 162 196 210 234 240 252 256	284392890446
STPT(10)	745658107426742561	0 2 6 8 18 20 30 32 36 38	480242503650
STPT(10)	745658405078042579	0 2 12 14 30 32 48 50 60 62	777893803668
SPT(16)	745658411066834387	0 24 26 72 90 110 222 264 332 374 486 506 524 570 572 596	783882595476