Prime p₀= 2050102586592419501 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: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2050101654180697847	0 14 44 86 114 162 174 182 204 212 224 272 300 342 372 386	-932411721654
SPT(16)	2050101748890562561	0 6 36 42 88 108 112 132 166 186 190 210 256 262 292 298	-837701856940
STPT(10)	2050101836557778291	0 2 36 38 78 80 120 122 156 158	-750034641210
STPT(10)	2050101944474997377	0 2 30 32 42 44 54 56 84 86	-642117422124
TPT(14)	2050102092953274629	0 2 318 320 360 362 432 434 462 464 528 530 588 590	-493639144872
SPT(16)	2050102317384685793	0 8 20 50 54 60 78 140 144 206 224 230 234 264 276 284	-269207733708
STPT(10)	2050102745799270101	0 2 36 38 78 80 120 122 156 158	159206850600
SPT(16)	2050102845019379851	0 18 42 70 88 112 130 178 240 288 306 330 348 376 400 418	258426960350
SPT(20)	2050102990380105677	0 20 30 44 60 74 90 156 176 186 230 240 260 326 342 356 372 386 396 416	403787686176
SPT(16)	2050103111011973599	0 30 40 58 60 108 114 142 180 208 214 262 264 282 292 322	524419554098
SPT(16)	2050103277692079679	0 24 28 82 150 174 210 222 280 292 328 352 420 474 478 502	691099660178