Prime p₀= 2710550171401831607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Rantanplan
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2710547747010797777	0 12 44 54 74 84 90 102 182 194 200 210 230 240 272 284	-2424391033830
STPT(10)	2710549135884965699	0 2 18 20 30 32 42 44 60 62	-1035516865908
SPT(16)	2710549544407582057	0 10 24 66 82 90 96 166 180 250 256 264 280 322 336 346	-626994249550
STPT(10)	2710549630949925431	0 2 6 8 18 20 30 32 36 38	-540451906176
STPT(10)	2710549732615600607	0 2 30 32 42 44 54 56 84 86	-438786231000
SPT(16)	2710550010145318907	0 2 12 14 42 54 104 140 156 192 242 254 282 284 294 296	-161256512700
SPT(16)	2710550789255710901	0 56 78 80 86 90 120 246 260 386 416 420 426 428 450 506	617853879294
STPT(10)	2710550905947314621	0 2 36 38 78 80 120 122 156 158	734545483014
SPT(16)	2710551045068867827	0 40 66 82 106 120 166 172 204 210 256 270 294 310 336 376	873667036220
SPT(16)	2710551090981136463	0 20 36 54 74 198 236 260 264 288 326 450 470 488 504 524	919579304856
TPT(14)	2710551517537500641	0 2 6 8 30 32 96 98 198 200 210 212 270 272	1346135669034