Prime p₀= 2456237215894561049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

STPT(10)	2456236274841704021	0 2 6 8 18 20 30 32 36 38	-941052857028
STPT(10)	2456236279749972647	0 2 54 56 72 74 90 92 144 146	-936144588402
SPT(16)	2456236335094850459	0 42 90 110 120 128 132 134 138 140 144 152 162 182 230 272	-880799710590
TPT(14)	2456236700953268657	0 2 210 212 294 296 462 464 474 476 480 482 552 554	-514941292392
STPT(10)	2456237167512147659	0 2 48 50 90 92 132 134 180 182	-48382413390
STPT(10)	2456237195485885307	0 2 12 14 42 44 72 74 84 86	-20408675742
SPT(16)	2456237429938891727	0 24 56 86 144 146 186 200 240 254 294 296 354 384 416 440	214044330678
SPT(16)	2456237522255455027	0 6 22 24 34 36 52 84 112 144 160 162 172 174 190 196	306360893978
SPT(16)	2456237897904028783	0 28 30 88 90 130 150 178 216 244 264 304 306 364 366 394	682009467734
SPT(16)	2456237967224475881	0 32 42 62 66 72 98 168 170 240 266 272 276 296 306 338	751329914832
STPT(12)	2456238077423517479	0 2 42 44 72 74 108 110 138 140 180 182	861528956430