Prime p₀= 1237913785539289277 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1237912600909103771	0 2 36 38 78 80 120 122 156 158	-1184630185506
SPT(16)	1237912951217541019	0 10 18 24 28 100 120 130 288 298 318 390 394 400 408 418	-834321748258
STPT(10)	1237913035089801269	0 2 42 44 90 92 138 140 180 182	-750449488008
SPT(16)	1237913170070206139	0 20 60 68 80 90 102 158 174 230 242 252 264 272 312 332	-615469083138
SPT(16)	1237913465163203519	0 18 48 80 162 182 192 218 234 260 270 290 372 404 434 452	-320376085758
SPT(16)	1237913631051442487	0 44 62 104 114 132 176 204 212 240 284 302 312 354 372 416	-154487846790
STPT(10)	1237914328135318607	0 2 42 44 72 74 102 104 144 146	542596029330
SPT(16)	1237914348418226681	0 42 90 108 116 146 152 156 182 186 192 222 230 248 296 338	562878937404
TPT(14)	1237914358100971427	0 2 90 92 114 116 120 122 282 284 294 296 312 314	572561682150
SPT(16)	1237915393766372579	0 12 20 24 32 38 62 90 122 150 174 180 188 192 200 212	1608227083302
TPT(14)	1237915494577288607	0 2 42 44 132 134 150 152 192 194 234 236 300 302	1709037999330