Prime p₀= 1083345637026065261 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)	1083344688842782031	0 2 18 30 50 92 156 162 176 182 246 288 308 320 336 338	-948183283230
STPT(10)	1083344981834729429	0 2 12 14 30 32 48 50 60 62	-655191335832
STPT(10)	1083345003472134581	0 2 6 8 48 50 90 92 96 98	-633553930680
SPT(16)	1083345081097597561	0 78 150 166 216 276 300 328 348 376 400 460 510 526 598 676	-555928467700
SPT(16)	1083345433866377551	0 16 22 46 60 70 100 126 136 162 192 202 216 240 246 262	-203159687710
SPT(16)	1083345526955645441	0 8 20 26 42 56 96 98 180 182 222 236 252 258 270 278	-110070419820
STPT(10)	1083346002873186707	0 2 30 32 72 74 114 116 144 146	365847121446
STPT(10)	1083346426807153679	0 2 18 20 30 32 42 44 60 62	789781088418
STPT(10)	1083346457425601639	0 2 48 50 90 92 132 134 180 182	820399536378
SPT(16)	1083346635310414291	0 12 40 82 130 160 180 186 286 292 312 342 390 432 460 472	998284349030
STPT(10)	1083346936001122937	0 2 42 44 72 74 102 104 144 146	1298975057676