Prime p₀= 2800507033790097407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2800504677290851481	0 48 56 66 90 156 168 170 228 230 242 308 332 342 350 398	-2356499245926
SPT(20)	2800505123231401249	0 28 34 54 138 144 210 222 228 234 328 334 340 352 418 424 508 528 534 562	-1910558696158
TPT(14)	2800505212938183809	0 2 42 44 48 50 60 62 78 80 90 92 102 104	-1820851913598
STPT(10)	2800505284614075677	0 2 60 62 72 74 84 86 144 146	-1749176021730
TPT(14)	2800505916178721321	0 2 6 8 30 32 60 62 96 98 126 128 180 182	-1117611376086
SPT(16)	2800506419893282343	0 18 36 78 80 96 126 138 146 158 188 204 206 248 266 284	-613896815064
STPT(10)	2800507395922132007	0 2 42 44 72 74 102 104 144 146	362132034600
SPT(16)	2800507747181163007	0 36 46 60 94 102 120 156 190 226 244 252 286 300 310 346	713391065600
STPT(10)	2800508167134959387	0 2 30 32 42 44 54 56 84 86	1133344861980
STPT(10)	2800508506429883057	0 2 54 56 72 74 90 92 144 146	1472639785650
STPT(10)	2800508893780992767	0 2 42 44 102 104 162 164 204 206	1859990895360