Prime p₀= 2291350150450294259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2291347954833793157	0 2 30 32 42 44 54 56 84 86	-2195616501102
SPT(16)	2291348933278176647	0 12 30 42 56 126 134 144 152 162 170 240 254 266 284 296	-1217172117612
SPT(16)	2291348947159685089	0 10 48 70 84 144 150 160 162 172 178 238 252 274 312 322	-1203290609170
STPT(10)	2291348965184453261	0 2 6 8 48 50 90 92 96 98	-1185265840998
SPT(16)	2291349452218252229	0 42 44 74 84 90 128 200 222 294 332 338 348 378 380 422	-698232042030
SPT(16)	2291349528467303461	0 40 82 100 112 126 240 310 318 388 502 516 528 546 588 628	-621982990798
SPT(16)	2291350177620455041	0 30 52 60 82 102 160 180 298 318 376 396 418 426 448 478	27170160782
TPT(14)	2291350183610255891	0 2 30 32 60 62 126 128 300 302 336 338 366 368	33159961632
STPT(10)	2291350961963614937	0 2 12 14 42 44 72 74 84 86	811513320678
TPT(14)	2291350979368080857	0 2 12 14 42 44 54 56 162 164 210 212 294 296	828917786598
SPT(16)	2291351658035749241	0 8 38 48 72 102 132 140 150 158 188 218 242 252 282 290	1507585454982