Prime p₀= 2710549630949925431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Rantanplan
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2710547466565870367	0 2 42 44 72 74 102 104 144 146	-2164384055064
STPT(10)	2710547638486567277	0 2 30 32 72 74 114 116 144 146	-1992463358154
STPT(10)	2710547745877786229	0 2 18 20 30 32 42 44 60 62	-1885072139202
SPT(16)	2710547747010797777	0 12 44 54 74 84 90 102 182 194 200 210 230 240 272 284	-1883939127654
STPT(10)	2710549135884965699	0 2 18 20 30 32 42 44 60 62	-495064959732
SPT(16)	2710549544407582057	0 10 24 66 82 90 96 166 180 250 256 264 280 322 336 346	-86542343374
STPT(10)	2710549732615600607	0 2 30 32 42 44 54 56 84 86	101665675176
SPT(16)	2710550010145318907	0 2 12 14 42 54 104 140 156 192 242 254 282 284 294 296	379195393476
STPT(10)	2710550171401831607	0 2 30 32 60 62 90 92 120 122	540451906176
SPT(16)	2710550789255710901	0 56 78 80 86 90 120 246 260 386 416 420 426 428 450 506	1158305785470
STPT(10)	2710550905947314621	0 2 36 38 78 80 120 122 156 158	1274997389190