Prime p₀= 2244673884896784137 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: JonS
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2244672958910722979	0 8 18 30 44 108 132 134 198 200 224 288 302 314 324 332	-925986061158
SPT(16)	2244673034494210141	0 48 66 82 100 138 148 162 196 210 220 258 276 292 310 358	-850402573996
STPT(10)	2244673205318694131	0 2 36 38 78 80 120 122 156 158	-679578090006
SPT(16)	2244673257424025819	0 2 62 114 122 138 144 174 248 278 284 300 308 360 420 422	-627472758318
STPT(10)	2244673677489401747	0 2 30 32 42 44 54 56 84 86	-207407382390
TPT(14)	2244673876034022269	0 2 18 20 48 50 72 74 102 104 222 224 300 302	-8862761868
SPT(16)	2244674373783425239	0 18 28 34 40 42 64 82 90 108 130 132 138 144 154 172	488886641102
SPT(16)	2244674711099399039	0 54 62 68 110 114 140 168 194 222 248 252 294 300 308 362	826202614902
SPT(16)	2244674773763785411	0 10 88 138 166 192 198 226 252 280 286 312 340 390 468 478	888867001274
STPT(10)	2244674832432474119	0 2 18 20 30 32 42 44 60 62	947535689982
STPT(10)	2244675141875854547	0 2 30 32 72 74 114 116 144 146	1256979070410