Prime p₀= 2350345234871750717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2350344697677512941	0 42 48 58 100 108 130 132 136 138 160 168 210 220 226 268	-537194237776
STPT(10)	2350344718355939861	0 2 6 8 48 50 90 92 96 98	-516515810856
SPT(16)	2350344780825982907	0 14 32 50 66 84 96 110 126 140 152 170 186 204 222 236	-454045767810
TPT(14)	2350345007733849899	0 2 42 44 90 92 168 170 192 194 258 260 318 320	-227137900818
TPT(14)	2350345015212923621	0 2 198 200 228 230 336 338 408 410 426 428 450 452	-219658827096
STPT(10)	2350345229973084611	0 2 36 38 78 80 120 122 156 158	-4898666106
SPT(16)	2350345298115874781	0 30 36 42 50 56 152 168 170 186 282 288 296 302 308 338	63244124064
SPT(16)	2350346124823782353	0 24 30 78 90 98 146 156 218 228 276 284 296 344 350 374	889952031636
SPT(16)	2350346480483104849	0 72 88 240 252 264 282 298 324 340 358 370 382 534 550 622	1245611354132
SPT(16)	2350346532694140997	0 4 52 186 220 256 280 286 480 486 510 546 580 714 762 766	1297822390280
STPT(10)	2350346866420314659	0 2 18 20 30 32 42 44 60 62	1631548563942