Prime p₀= 2157148796033502377 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2157147135886074161	0 8 32 36 56 86 96 168 170 242 252 282 302 306 330 338	-1660147428216
STPT(10)	2157147257134222019	0 2 42 44 60 62 78 80 120 122	-1538899280358
SPT(16)	2157147334485777373	0 10 36 48 84 136 148 190 234 276 288 340 376 388 414 424	-1461547725004
STPT(10)	2157147736368423749	0 2 18 20 30 32 42 44 60 62	-1059665078628
SPT(16)	2157148016387580581	0 8 26 36 56 72 78 120 158 200 206 222 242 252 270 278	-779645921796
SPT(16)	2157148569447076783	0 30 64 78 100 120 144 190 204 250 274 294 316 330 364 394	-226586425594
STPT(10)	2157148932455678141	0 2 36 38 78 80 120 122 156 158	136422175764
SPT(16)	2157149421986211007	0 46 196 210 232 252 274 276 340 342 364 384 406 420 570 616	625952708630
STPT(10)	2157149436742137977	0 2 60 62 72 74 84 86 144 146	640708635600
STPT(10)	2157149472130790237	0 2 42 44 72 74 102 104 144 146	676097287860
SPT(16)	2157149588109967261	0 18 28 48 52 70 82 88 90 96 108 126 130 150 160 178	792076464884