Prime p₀= 798856488158129897 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	798855415671997483	0 34 60 66 94 126 144 154 210 220 238 270 298 304 330 364	-1072486132414
STPT(10)	798855616906513301	0 2 36 38 78 80 120 122 156 158	-871251616596
SPT(16)	798855830735825297	0 24 32 50 54 84 114 182 222 290 320 350 354 372 380 404	-657422304600
SPT(16)	798855990224321749	0 52 82 84 124 142 144 172 192 220 222 240 280 282 312 364	-497933808148
STPT(10)	798856075017736871	0 2 36 38 78 80 120 122 156 158	-413140393026
SPT(16)	798856219045940767	0 40 52 82 150 154 204 214 252 262 312 316 384 414 426 466	-269112189130
STPT(10)	798856766889774797	0 2 12 14 42 44 72 74 84 86	278731644900
STPT(10)	798857012578753937	0 2 12 14 42 44 72 74 84 86	524420624040
STPT(10)	798857414197727699	0 2 12 14 90 92 168 170 180 182	926039597802
STPT(10)	798857604458937839	0 2 12 14 30 32 48 50 60 62	1116300807942
STPT(10)	798857858273102861	0 2 36 38 78 80 120 122 156 158	1370114972964