Prime p₀= 2363029784521503257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: suriv
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2363028846096858481	0 10 22 36 40 76 120 192 220 292 336 372 376 390 402 412	-938424644776
SPT(16)	2363028921368113549	0 12 82 102 132 160 162 178 204 220 222 250 280 300 370 382	-863153389708
SPT(16)	2363028948061074763	0 28 40 94 108 114 144 184 264 304 334 340 354 408 420 448	-836460428494
STPT(10)	2363029220815506707	0 2 90 92 102 104 114 116 204 206	-563705996550
STPT(12)	2363029276940658371	0 2 78 80 108 110 138 140 168 170 246 248	-507580844886
SPT(16)	2363029337029144403	0 14 74 110 114 144 146 156 158 168 170 200 204 240 300 314	-447492358854
STPT(10)	2363030028729483257	0 2 42 44 72 74 102 104 144 146	244207980000
SPT(18)	2363030271729811771	0 42 76 112 208 216 222 250 262 306 318 346 352 360 456 492 526 568	487208308514
STPT(10)	2363030277434817239	0 2 18 20 30 32 42 44 60 62	492913313982
SPT(16)	2363031084337781111	0 2 8 18 42 50 56 72 86 102 108 116 140 150 156 158	1299816277854
STPT(12)	2363031374258514389	0 2 42 44 48 50 132 134 138 140 180 182	1589737011132