Prime p₀= 1016786311168468031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1016785446204927757	0 4 12 24 40 42 52 54 100 102 112 114 130 142 150 154	-864963540274
SPT(16)	1016785485900977453	0 14 24 66 140 204 260 276 278 294 350 414 488 530 540 554	-825267490578
STPT(10)	1016785895155490429	0 2 12 14 30 32 48 50 60 62	-416012977602
SPT(16)	1016786045491473143	0 14 50 98 116 168 188 200 204 216 236 288 306 354 390 404	-265676994888
STPT(10)	1016786091779522759	0 2 30 32 60 62 90 92 120 122	-219388945272
SPT(16)	1016786153132152631	0 8 18 42 50 128 176 198 200 222 270 348 356 380 390 398	-158036315400
STPT(10)	1016786446428527441	0 2 6 8 18 20 30 32 36 38	135260059410
STPT(10)	1016786615795683487	0 2 42 44 72 74 102 104 144 146	304627215456
STPT(10)	1016786750422121669	0 2 12 14 90 92 168 170 180 182	439253653638
SPT(16)	1016787004532429521	0 46 76 108 156 240 286 318 328 360 406 490 538 570 600 646	693363961490
STPT(10)	1016787256338891647	0 2 30 32 42 44 54 56 84 86	945170423616