Prime p₀= 2443712846326362431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2443710258419125687	0 4 34 46 60 102 136 144 202 210 244 286 300 312 342 346	-2587907236744
STPT(10)	2443711574435864177	0 2 30 32 42 44 54 56 84 86	-1271890498254
SPT(16)	2443711582364936243	0 66 90 96 120 128 198 236 318 356 426 434 458 464 488 554	-1263961426188
TPT(14)	2443711801626632177	0 2 42 44 102 104 132 134 240 242 252 254 300 302	-1044699730254
SPT(16)	2443711869387744047	0 44 60 72 80 102 114 176 360 422 434 456 464 476 492 536	-976938618384
SPT(16)	2443712703394182509	0 14 72 90 98 128 134 164 168 198 204 234 242 260 318 332	-142932179922
SPT(16)	2443712857361812219	0 10 18 22 24 78 82 94 138 150 154 208 210 214 222 232	11035449788
STPT(10)	2443712885745356549	0 2 42 44 60 62 78 80 120 122	39418994118
TPT(14)	2443713222097630337	0 2 114 116 162 164 192 194 204 206 402 404 414 416	375771267906
SPT(16)	2443713362345617463	0 14 24 98 128 134 138 164 264 290 294 300 330 404 414 428	516019255032
STPT(12)	2443713460397918549	0 2 12 14 42 44 120 122 150 152 162 164	614071556118