Prime p₀= 837712859531905067 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: suriv
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	837710810754650431	0 18 42 58 88 130 196 210 268 282 348 390 420 436 460 478	-2048777254636
STPT(10)	837711055800160637	0 2 12 14 132 134 252 254 264 266	-1803731744430
STPT(10)	837711364790919257	0 2 60 62 72 74 84 86 144 146	-1494740985810
SPT(16)	837712003126821601	0 16 28 42 148 160 168 172 216 220 228 240 346 360 372 388	-856405083466
SPT(16)	837712180554303619	0 22 90 118 148 160 190 204 208 222 252 264 294 322 390 412	-678977601448
STPT(12)	837712366420873649	0 2 12 14 30 32 180 182 198 200 210 212	-493111031418
SPT(16)	837713080729526581	0 42 118 132 142 166 208 238 240 270 312 336 346 360 436 478	221197621514
SPT(16)	837713230810580213	0 14 24 74 110 116 146 150 224 228 258 264 300 350 360 374	371278675146
SPT(16)	837713310135749909	0 8 30 50 54 68 80 108 170 198 210 224 228 248 270 278	450603844842
SPT(16)	837713582280644723	0 8 36 104 120 236 260 266 288 294 318 434 450 518 546 554	722748739656
STPT(10)	837713582722563707	0 2 30 32 42 44 54 56 84 86	723190658640