Prime p₀= 2314681996939019759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2314681548973574321	0 2 48 90 128 132 156 168 170 182 206 210 248 290 336 338	-447965445438
SPT(13)	2314681759474632641	0 30 48 78 90 108 120 132 150 162 192 210 240	-237464387118
SPT(16)	2314681850420734127	0 6 12 20 56 62 84 90 176 182 204 210 246 254 260 266	-146518285632
SPT(16)	2314681907387935301	0 38 42 56 108 168 222 248 270 296 350 410 462 476 480 518	-89551084458
STPT(10)	2314681936508863247	0 2 30 32 42 44 54 56 84 86	-60430156512
STPT(10)	2314681974948884417	0 2 84 86 162 164 240 242 324 326	-21990135342
TPT(14)	2314682113455430307	0 2 24 26 84 86 162 164 222 224 252 254 402 404	116516410548
STPT(10)	2314682466212332001	0 2 30 32 78 80 126 128 156 158	469273312242
SPT(16)	2314682669802463561	0 40 72 76 112 126 130 138 160 168 172 186 222 226 258 298	672863443802
STPT(12)	2314682897415624521	0 2 30 32 36 38 120 122 126 128 156 158	900476604762
STPT(10)	2314683035570845571	0 2 30 32 78 80 126 128 156 158	1038631825812