Prime p₀= 2056696359617210429 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: MarkRBright
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2056695670407587939	0 2 42 44 168 170 198 200 210 212 252 254 288 290	-689209622490
STPT(10)	2056695671781472607	0 2 30 32 72 74 114 116 144 146	-687835737822
SPT(16)	2056695950349818473	0 28 120 160 166 216 264 274 300 310 358 408 414 454 546 574	-409267391956
SPT(16)	2056696110072655339	0 22 52 82 112 124 144 162 172 190 210 222 252 282 312 334	-249544555090
SPT(16)	2056696145296997683	0 24 30 40 90 100 118 136 198 216 234 244 294 304 310 334	-214320212746
SPT(16)	2056696347750465853	0 4 54 60 78 94 148 168 190 210 264 280 298 304 354 358	-11866744576
STPT(10)	2056696459516890179	0 2 18 20 30 32 42 44 60 62	99899679750
STPT(10)	2056696544692993529	0 2 18 20 30 32 42 44 60 62	185075783100
SPT(16)	2056696569482429419	0 4 10 70 112 130 138 180 292 334 342 360 402 462 468 472	209865218990
STPT(10)	2056697442449920181	0 2 6 8 18 20 30 32 36 38	1082832709752
TPT(14)	2056697498962551827	0 2 30 32 42 44 72 74 114 116 132 134 222 224	1139345341398