Prime p₀= 2813209724088580277 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(16)	2813206497534633659	0 68 78 98 104 138 162 180 182 200 224 258 264 284 294 362	-3226553946618
SPT(16)	2813206642307147543	0 20 48 80 140 146 266 270 314 318 438 444 504 536 564 584	-3081781432734
SPT(16)	2813206793271922513	0 16 30 64 76 174 186 190 264 268 280 378 390 424 438 454	-2930816657764
SPT(16)	2813206917207852829	0 28 54 130 160 202 228 240 352 364 390 432 462 538 564 592	-2806880727448
SPT(16)	2813209008481623637	0 4 40 70 156 160 274 322 384 432 546 550 636 666 702 706	-715606956640
SPT(16)	2813209214089996367	0 24 32 60 90 116 156 174 182 200 240 266 296 324 332 356	-509998583910
STPT(10)	2813210654335342367	0 2 12 14 42 44 72 74 84 86	930246762090
STPT(10)	2813210924090680427	0 2 30 32 42 44 54 56 84 86	1200002100150
STPT(10)	2813210946840123041	0 2 36 38 78 80 120 122 156 158	1222751542764
STPT(10)	2813211118479052199	0 2 18 20 30 32 42 44 60 62	1394390471922
SPT(16)	2813211825985554989	0 2 32 72 80 158 162 212 240 290 294 372 380 420 450 452	2101896974712