Prime p₀= 2031261961917057839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Time_Traveler
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2031260210105359151	0 2 18 32 72 80 92 120 128 156 168 176 216 230 246 248	-1751811698688
STPT(10)	2031260405306346119	0 2 138 140 180 182 222 224 360 362	-1556610711720
SPT(16)	2031260606591112509	0 12 20 68 78 120 132 182 210 260 272 314 324 372 380 392	-1355325945330
TPT(14)	2031260710844878517	0 2 42 44 222 224 252 254 294 296 354 356 420 422	-1251072179322
SPT(16)	2031260854949276933	0 8 30 38 54 80 120 164 180 224 264 290 306 314 336 344	-1106967780906
TPT(14)	2031261008924994527	0 2 30 32 42 44 72 74 90 92 132 134 300 302	-952992063312
TPT(14)	2031261968072304881	0 2 60 62 210 212 216 218 348 350 390 392 396 398	6155247042
SPT(16)	2031261984630323479	0 30 40 42 60 112 144 150 172 178 210 262 280 282 292 322	22713265640
STPT(10)	2031262420893498941	0 2 30 32 78 80 126 128 156 158	458976441102
STPT(10)	2031262884694471037	0 2 30 32 42 44 54 56 84 86	922777413198
SPT(16)	2031262901598758941	0 42 60 78 130 180 208 222 256 270 298 348 400 418 436 478	939681701102