Prime p₀= 2114992331688202427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=80, k=10, 2 22 2 16 2

SPT(16)	2114991884484672121	0 22 36 42 48 76 112 126 172 186 222 250 256 262 276 298	-447203530306
STPT(10)	2114992000007686601	0 2 6 8 48 50 90 92 96 98	-331680515826
SPT(16)	2114992060753750349	0 12 54 90 110 114 132 140 204 212 230 234 254 290 332 344	-270934452078
SPT(16)	2114992097445588997	0 6 42 76 82 136 216 276 520 580 660 714 720 754 790 796	-234242613430
SPT(16)	2114992246906738627	0 54 64 120 124 136 156 184 192 220 240 252 256 312 322 376	-84781463800
SPT(16)	2114992314998013029	0 68 78 98 102 120 140 144 218 222 242 260 264 284 294 362	-16690189398
STPT(10)	2114992403622230549	0 2 18 20 30 32 42 44 60 62	71934028122
STPT(10)	2114992584182876777	0 2 30 32 42 44 54 56 84 86	252494674350
SPT(16)	2114992652205385559	0 24 50 54 78 122 144 182 270 308 330 374 398 402 428 452	320517183132
STPT(10)	2114992982378765507	0 2 42 44 72 74 102 104 144 146	650690563080
STPT(10)	2114993200572915119	0 2 42 44 120 122 198 200 240 242	868884712692