Prime p₀= 2396892066972154667 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: JonS
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2396891076045909899	0 2 42 44 78 80 108 110 150 152 222 224 252 254	-990926244768
SPT(16)	2396891289502322801	0 2 12 60 68 108 140 152 198 210 242 282 290 338 348 350	-777469831866
STPT(10)	2396891398478830577	0 2 30 32 120 122 210 212 240 242	-668493324090
SPT(16)	2396891627202313037	0 2 24 54 156 164 180 222 254 296 312 320 422 452 474 476	-439769841630
STPT(10)	2396891627804762129	0 2 18 20 30 32 42 44 60 62	-439167392538
STPT(10)	2396891902194159191	0 2 6 8 48 50 90 92 96 98	-164777995476
SPT(16)	2396892118537984439	0 54 78 84 120 140 144 158 180 194 198 218 254 260 284 338	51565829772
STPT(10)	2396892167761646879	0 2 42 44 60 62 78 80 120 122	100789492212
TPT(14)	2396892624524344979	0 2 138 140 180 182 222 224 282 284 348 350 390 392	557552190312
SPT(16)	2396892860666979859	0 4 72 120 130 162 174 220 294 340 352 384 394 442 510 514	793694825192
SPT(16)	2396893175168118947	0 12 36 62 92 116 132 146 180 194 210 234 264 290 314 326	1108195964280