Prime p₀= 2313138813964988921 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: WTBroughton
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2313136231796010461	0 2 36 38 78 80 120 122 156 158	-2582168978460
SPT(16)	2313136818771378167	0 12 24 120 126 150 164 182 204 222 236 260 266 362 374 386	-1995193610754
STPT(10)	2313136878670873667	0 2 24 26 42 44 60 62 84 86	-1935294115254
STPT(10)	2313136959819721331	0 2 6 8 18 20 30 32 36 38	-1854145267590
SPT(16)	2313137799362811937	0 10 24 40 46 54 102 112 234 244 292 300 306 322 336 346	-1014602176984
TPT(16)	2313138692965741139	0 2 48 50 78 80 132 134 168 170 288 290 300 302 342 344	-120999247782
SPT(16)	2313139233814754509	0 10 22 40 94 154 160 184 258 282 288 348 402 420 432 442	419849765588
STPT(10)	2313139448961560111	0 2 6 8 48 50 90 92 96 98	634996571190
SPT(16)	2313139535037515143	0 46 64 84 190 196 310 330 430 450 564 570 676 696 714 760	721072526222
SPT(16)	2313139588162757083	0 6 126 160 210 240 280 300 424 444 484 514 564 598 718 724	774197768162
SPT(16)	2313139640858323877	0 42 56 92 120 132 144 152 384 392 404 416 444 480 494 536	826893334956