Prime p₀= 2159975518501913009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2159973440981496037	0 22 24 36 42 46 52 84 112 144 150 154 160 172 174 196	-2077520416972
SPT(16)	2159973691859816647	0 16 94 96 124 126 166 232 294 360 400 402 430 432 510 526	-1826642096362
SPT(16)	2159974277486788759	0 28 84 94 112 148 154 210 232 288 294 330 348 358 414 442	-1241015124250
STPT(10)	2159974613172801791	0 2 36 38 78 80 120 122 156 158	-905329111218
SPT(16)	2159974710752531599	0 112 114 124 180 222 234 240 262 268 280 322 378 388 390 502	-807749381410
STPT(12)	2159975384343007277	0 2 12 14 54 56 90 92 132 134 144 146	-134158905732
STPT(10)	2159975583836844209	0 2 42 44 60 62 78 80 120 122	65334931200
STPT(12)	2159975679383892281	0 2 18 20 90 92 156 158 228 230 246 248	160881979272
SPT(16)	2159975963454966647	0 86 110 162 176 212 242 246 260 264 294 330 344 396 420 506	444953053638
SPT(16)	2159976227290127227	0 34 72 102 120 150 156 172 174 190 196 226 244 274 312 346	708788214218
SPT(16)	2159976869602576333	0 36 46 66 106 108 150 166 168 184 226 228 268 288 298 334	1351100663324