Prime p₀= 1251154346428458299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 40 2 16 2

STPT(10)	1251153650820122051	0 2 30 32 60 62 90 92 120 122	-695608336248
STPT(10)	1251153889616010617	0 2 30 32 42 44 54 56 84 86	-456812447682
SPT(16)	1251153928322416597	0 12 30 36 84 90 162 166 240 244 316 322 370 376 394 406	-418106041702
SPT(16)	1251154067732265043	0 40 46 106 144 198 208 210 244 246 256 310 348 408 414 454	-278696193256
SPT(16)	1251154250858057251	0 30 40 46 66 82 88 112 156 180 186 202 222 228 238 268	-95570401048
SPT(16)	1251154303849214341	0 40 42 82 106 108 150 162 166 178 220 222 246 286 288 328	-42579243958
SPT(16)	1251154599210703717	0 6 54 70 82 112 126 210 286 370 384 414 426 442 490 496	252782245418
SPT(16)	1251154619472344491	0 10 16 42 58 66 112 130 168 186 232 240 256 282 288 298	273043886192
STPT(10)	1251154753769616671	0 2 96 98 108 110 120 122 216 218	407341158372
SPT(16)	1251154796509797947	0 36 42 104 110 140 150 206 330 386 396 426 432 494 500 536	450081339648
STPT(10)	1251154827959163221	0 2 6 8 48 50 90 92 96 98	481530704922