Prime p₀= 2345008758989092709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Xenon
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2345007600283629101	0 2 6 8 18 20 30 32 36 38	-1158705463608
SPT(16)	2345007799869211777	0 72 102 124 132 156 160 180 256 276 280 304 312 334 364 436	-959119880932
SPT(16)	2345007929719596343	0 10 28 70 108 114 178 180 184 186 250 256 294 336 354 364	-829269496366
SPT(16)	2345007948986180903	0 14 24 38 78 80 138 168 230 260 318 320 360 374 384 398	-810002911806
STPT(10)	2345008543300038179	0 2 48 50 90 92 132 134 180 182	-215689054530
SPT(16)	2345008628250367531	0 30 70 90 118 166 168 210 238 280 282 330 358 378 418 448	-130738725178
SPT(16)	2345008863430830763	0 6 18 40 48 70 136 220 246 330 396 418 426 448 460 466	104441738054
STPT(10)	2345008918440642059	0 2 12 14 90 92 168 170 180 182	159451549350
STPT(10)	2345009087541260219	0 2 48 50 60 62 72 74 120 122	328552167510
SPT(16)	2345009194167255493	0 30 36 96 100 106 108 150 166 208 210 216 220 280 286 316	435178162784
STPT(10)	2345009303823104489	0 2 18 20 30 32 42 44 60 62	544834011780