Prime p₀= 1008246174599538377 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

STPT(12)	1008245343330814397	0 2 12 14 30 32 54 56 72 74 84 86	-831268723980
SPT(16)	1008245379841800967	0 6 34 72 76 94 132 142 144 154 192 210 214 252 280 286	-794757737410
SPT(16)	1008245524327866997	0 40 82 84 102 190 210 222 382 394 414 502 520 522 564 604	-650271671380
SPT(16)	1008245549555970611	0 18 90 138 140 146 156 158 198 200 210 216 218 266 338 356	-625043567766
SPT(18)	1008245671520660999	0 18 62 84 132 164 170 182 192 230 240 252 258 290 338 360 404 422	-503078877378
STPT(10)	1008246165692414321	0 2 30 32 180 182 330 332 360 362	-8907124056
SPT(18)	1008246457794857843	0 20 38 56 66 80 168 200 210 224 234 266 354 368 378 396 414 434	283195319466
SPT(16)	1008246478734153017	0 14 36 56 80 116 140 150 266 276 300 336 360 380 402 416	304134614640
STPT(10)	1008246964820795771	0 2 30 32 78 80 126 128 156 158	790221257394
SPT(16)	1008246988507157171	0 12 38 48 56 80 108 110 168 170 198 222 230 240 266 278	813907618794
SPT(16)	1008247001272343881	0 10 28 42 46 58 76 90 178 192 210 222 226 240 258 268	826672805504