Prime p₀= 2549517796568722949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2549516970337543627	0 36 40 100 102 130 144 154 282 292 306 334 336 396 400 436	-826231179322
STPT(10)	2549517075262953659	0 2 42 44 90 92 138 140 180 182	-721305769290
STPT(10)	2549517232339610081	0 2 6 8 48 50 90 92 96 98	-564229112868
STPT(10)	2549517338270125367	0 2 60 62 72 74 84 86 144 146	-458298597582
SPT(16)	2549517564398260007	0 6 14 44 54 102 110 140 156 186 194 242 252 282 290 296	-232170462942
SPT(16)	2549517609645062509	0 4 52 60 82 180 214 234 238 258 292 390 412 420 468 472	-186923660440
TPT(14)	2549517818361204641	0 2 18 20 30 32 60 62 96 98 168 170 198 200	21792481692
TPT(14)	2549517960290852519	0 2 42 44 78 80 90 92 138 140 150 152 222 224	163722129570
SPT(16)	2549517981211901207	0 2 14 32 50 132 134 144 200 210 212 294 312 330 342 344	184643178258
STPT(10)	2549518250030934797	0 2 24 26 42 44 60 62 84 86	453462211848
SPT(16)	2549518416359829773	0 48 50 56 66 78 110 140 174 204 236 248 258 264 266 314	619791106824