Prime p₀= 2497280126797429157 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2497276893591694477	0 16 30 82 90 132 154 186 280 312 334 376 384 436 450 466	-3233205734680
STPT(10)	2497276916745141359	0 2 48 50 90 92 132 134 180 182	-3210052287798
STPT(10)	2497277323069233317	0 2 30 32 42 44 54 56 84 86	-2803728195840
SPT(16)	2497278361972190611	0 28 58 66 192 240 246 268 300 322 328 376 502 510 540 568	-1764825238546
STPT(10)	2497278414536666879	0 2 18 20 30 32 42 44 60 62	-1712260762278
SPT(16)	2497278831655576849	0 18 34 52 102 108 154 192 220 258 304 310 360 378 394 412	-1295141852308
STPT(10)	2497280183695363247	0 2 30 32 42 44 54 56 84 86	56897934090
SPT(16)	2497280568712606841	0 6 26 48 90 110 126 132 176 182 198 218 260 282 302 308	441915177684
SPT(16)	2497280983319944363	0 6 28 40 54 150 154 208 276 330 334 430 444 456 478 484	856522515206
SPT(16)	2497281045654332467	0 4 10 22 24 54 60 102 112 154 160 190 192 204 210 214	918856903310
STPT(10)	2497281365228158811	0 2 30 32 120 122 210 212 240 242	1238430729654