Prime p₀= 2117862874665686177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2117860158394081721	0 8 20 26 32 48 110 126 152 168 230 246 252 258 270 278	-2716271604456
TPT(14)	2117860599885953057	0 2 90 92 102 104 120 122 174 176 282 284 354 356	-2274779733120
TPT(14)	2117860734710266289	0 2 72 74 78 80 120 122 198 200 228 230 282 284	-2139955419888
SPT(16)	2117862440184692849	0 8 20 30 42 84 90 98 204 212 218 260 272 282 294 302	-434480993328
STPT(10)	2117862630589974407	0 2 60 62 72 74 84 86 144 146	-244075711770
SPT(16)	2117862649535058487	0 36 64 70 90 162 172 222 244 294 304 376 396 402 430 466	-225130627690
SPT(16)	2117862944585221021	0 6 12 18 28 30 58 100 168 210 238 240 250 256 262 268	69919534844
STPT(10)	2117862983746143419	0 2 30 32 60 62 90 92 120 122	109080457242
SPT(16)	2117863897812652541	0 18 30 56 60 110 116 140 168 192 198 248 252 278 290 308	1023146966364
SPT(16)	2117864327240883707	0 2 6 30 72 120 132 140 162 170 182 230 272 296 300 302	1452575197530
SPT(16)	2117864603366382239	0 20 42 48 68 102 110 122 210 222 230 264 284 290 312 332	1728700696062