Prime p₀= 2288515579027277627 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2288513980585189757	0 24 30 32 54 74 102 114 122 134 162 182 204 206 212 236	-1598442087870
STPT(10)	2288514420069492911	0 2 6 8 18 20 30 32 36 38	-1158957784716
SPT(16)	2288514425769612037	0 4 30 40 96 156 184 186 310 312 340 400 456 466 492 496	-1153257665590
SPT(20)	2288514836268387497	0 50 56 60 66 122 144 182 264 290 306 332 414 452 474 530 536 540 546 596	-742758890130
SPT(16)	2288515108641151111	0 10 18 36 60 78 88 102 106 120 130 148 172 190 198 208	-470386126516
TPT(14)	2288515176252710297	0 2 12 14 60 62 114 116 180 182 294 296 312 314	-402774567330
SPT(16)	2288515686106477361	0 18 32 36 56 62 72 98 120 146 156 162 182 186 200 218	107079199734
SPT(16)	2288515695784926901	0 28 42 88 126 130 160 166 222 228 258 262 300 346 360 388	116757649274
SPT(16)	2288515858356364573	0 18 24 30 40 46 60 70 114 124 138 144 154 160 166 184	279329086946
STPT(10)	2288516362950083447	0 2 30 32 42 44 54 56 84 86	783922805820
SPT(18)	2288516611777696379	0 30 32 104 114 144 150 170 182 192 204 224 230 260 270 342 344 374	1032750418752