Prime p₀= 2159670403722261317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=81, k=10, 2 22 2 16 2

SPT(16)	2159668916277191309	0 2 14 18 78 128 144 200 222 278 294 344 404 408 420 422	-1487445070008
STPT(10)	2159669545686343487	0 2 24 26 42 44 60 62 84 86	-858035917830
SPT(16)	2159669681814786389	0 122 132 138 140 152 164 180 182 198 210 222 224 230 240 362	-721907474928
STPT(10)	2159669786525266577	0 2 42 44 72 74 102 104 144 146	-617196994740
SPT(16)	2159670169890688291	0 12 18 78 82 90 160 162 166 168 238 246 250 310 316 328	-233831573026
SPT(16)	2159670298914120407	0 2 74 116 164 176 224 254 372 402 450 462 510 552 624 626	-104808140910
STPT(10)	2159670766829665889	0 2 48 50 60 62 72 74 120 122	363107404572
SPT(16)	2159670779724610483	0 18 28 34 70 106 108 126 238 256 258 294 330 336 346 364	376002349166
STPT(10)	2159671034815244747	0 2 30 32 42 44 54 56 84 86	631092983430
TPT(14)	2159671459674851567	0 2 12 14 42 44 54 56 84 86 144 146 240 242	1055952590250
SPT(16)	2159672165078928121	0 30 42 48 96 100 112 130 138 156 168 172 220 226 238 268	1761356666804