Prime p₀= 2497291782828426341 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2497289074109720809	0 24 28 48 52 78 144 154 168 178 244 270 274 294 298 322	-2708718705532
SPT(16)	2497289129950683589	0 24 28 42 52 70 108 112 180 184 222 240 250 264 268 292	-2652877742752
STPT(10)	2497290407825575091	0 2 36 38 78 80 120 122 156 158	-1375002851250
STPT(10)	2497290835396240097	0 2 30 32 42 44 54 56 84 86	-947432186244
STPT(10)	2497291035828501929	0 2 42 44 120 122 198 200 240 242	-746999924412
STPT(10)	2497291221924716837	0 2 42 44 72 74 102 104 144 146	-560903709504
STPT(10)	2497291825837534049	0 2 18 20 30 32 42 44 60 62	43009107708
SPT(16)	2497292427313103293	0 76 124 144 174 180 210 228 286 304 334 340 370 390 438 514	644484676952
TPT(14)	2497292904847787201	0 2 36 38 78 80 138 140 210 212 306 308 336 338	1122019360860
STPT(10)	2497293367860209717	0 2 30 32 42 44 54 56 84 86	1585031783376
STPT(10)	2497293831128462381	0 2 36 38 78 80 120 122 156 158	2048300036040