Prime p₀= 1956713086081443629 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	1956712053232922719	0 4 24 42 52 54 88 90 172 174 208 210 220 238 258 262	-1032848520910
TPT(14)	1956712212235950509	0 2 18 20 42 44 138 140 168 170 222 224 240 242	-873845493120
SPT(16)	1956712636583471017	0 10 54 60 130 132 144 192 322 370 382 384 454 460 504 514	-449497972612
TPT(14)	1956712815946357097	0 2 30 32 144 146 222 224 264 266 312 314 360 362	-270135086532
SPT(16)	1956712941358133093	0 50 56 78 230 248 266 270 374 378 396 414 566 588 594 644	-144723310536
TPT(14)	1956712945121503649	0 2 42 44 78 80 90 92 120 122 192 194 210 212	-140959939980
STPT(10)	1956714122778238277	0 2 24 26 42 44 60 62 84 86	1036696794648
STPT(10)	1956714490401319667	0 2 12 14 72 74 132 134 144 146	1404319876038
STPT(10)	1956714600110279687	0 2 30 32 42 44 54 56 84 86	1514028836058
SPT(16)	1956714828541511123	0 18 68 96 206 210 254 294 320 360 404 408 518 546 596 614	1742460067494
SPT(16)	1956714948323977189	0 18 52 60 64 78 102 178 204 280 304 318 322 330 364 382	1862242533560