Prime p₀= 797171639565726167 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	797171153344692541	0 22 76 90 108 120 172 220 228 276 328 340 358 372 426 448	-486221033626
SPT(16)	797171196979569677	0 20 84 90 146 150 152 180 236 264 266 270 326 332 396 416	-442586156490
SPT(16)	797171297181811009	0 22 24 42 64 72 78 90 142 154 160 168 190 208 210 232	-342383915158
STPT(10)	797171303808944717	0 2 42 44 72 74 102 104 144 146	-335756781450
SPT(16)	797171319838215317	0 6 32 116 120 132 146 162 230 246 260 272 276 360 386 392	-319727510850
TPT(14)	797171533709054501	0 2 6 8 60 62 90 92 126 128 138 140 180 182	-105856671666
SPT(16)	797171759394516581	0 8 60 96 108 116 140 176 210 246 270 278 290 326 378 386	119828790414
SPT(16)	797171963165795977	0 42 82 90 126 130 166 246 256 336 372 376 412 420 460 502	323600069810
SPT(16)	797172089736655429	0 10 12 24 114 142 144 150 202 208 210 238 328 340 342 352	450170929262
STPT(10)	797172411889487087	0 2 24 26 42 44 60 62 84 86	772323760920
STPT(10)	797172865214941067	0 2 30 32 72 74 114 116 144 146	1225649214900