Prime p₀= 2577435933731348717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(13)	2577434267706172657	0 24 66 126 144 150 180 210 216 234 294 336 360	-1666025176060
SPT(16)	2577434712418923991	0 22 40 82 100 130 138 148 222 232 240 270 288 330 348 370	-1221312424726
SPT(16)	2577435104804226091	0 10 12 42 88 120 148 162 178 192 220 252 298 328 330 340	-828927122626
STPT(10)	2577435171638985941	0 2 6 8 48 50 90 92 96 98	-762092362776
SPT(16)	2577435280633282219	0 12 40 52 54 72 78 108 154 184 190 208 210 222 250 262	-653098066498
TPT(14)	2577435296141216207	0 2 30 32 72 74 90 92 222 224 264 266 294 296	-637590132510
SPT(16)	2577436196819308757	0 14 32 60 62 80 114 164 210 260 294 312 314 342 360 374	263087960040
STPT(12)	2577436255284332009	0 2 12 14 42 44 120 122 150 152 162 164	321552983292
SPT(16)	2577436302743751011	0 36 56 72 96 180 260 300 302 342 422 506 530 546 566 602	369012402294
STPT(10)	2577436600738236707	0 2 30 32 42 44 54 56 84 86	667006887990
SPT(16)	2577436675567607551	0 18 76 78 90 96 106 148 150 192 202 208 220 222 280 298	741836258834