Prime p₀= 1122718469361155657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1122717159091991129	0 2 18 20 30 32 42 44 60 62	-1310269164528
SPT(16)	1122717555419581897	0 12 54 114 130 142 144 166 270 292 294 306 322 382 424 436	-913941573760
SPT(13)	1122717900664585259	0 30 42 60 72 90 150 210 228 240 258 270 300	-568696570398
SPT(16)	1122717984672594377	0 6 14 42 74 114 146 152 204 210 242 282 314 342 350 356	-484688561280
STPT(12)	1122718161410002007	0 2 42 44 54 56 90 92 102 104 144 146	-307951153650
SPT(16)	1122718238740622197	0 4 24 46 64 76 126 130 150 154 204 216 234 256 276 280	-230620533460
STPT(10)	1122718557302198609	0 2 18 20 30 32 42 44 60 62	87941042952
SPT(16)	1122718732090793317	0 6 34 64 72 102 112 142 174 204 214 244 252 282 310 316	262729637660
SPT(16)	1122719365029073733	0 20 26 36 48 50 126 138 218 230 306 308 320 330 336 356	895667918076
SPT(16)	1122720053055508267	0 10 52 90 114 132 142 154 180 192 202 220 244 282 324 334	1583694352610
STPT(12)	1122720173429435687	0 2 12 14 30 32 54 56 72 74 84 86	1704068280030