Prime p₀= 2364158651737993931 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: MarkRBright
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2364157262181180989	0 12 18 32 42 80 102 150 182 230 252 290 300 314 320 332	-1389556812942
SPT(16)	2364157649596163983	0 78 90 94 100 106 178 220 294 336 408 414 420 424 436 514	-1002141829948
SPT(16)	2364157732575068777	0 36 42 90 102 116 146 162 194 210 240 254 266 314 320 356	-919162925154
STPT(10)	2364157861848477857	0 2 30 32 42 44 54 56 84 86	-789889516074
STPT(12)	2364158125322846339	0 2 12 14 42 44 60 62 90 92 102 104	-526415147592
SPT(16)	2364158236053544193	0 26 30 54 90 156 194 200 324 330 368 434 470 494 498 524	-415684449738
STPT(10)	2364158715707841737	0 2 24 26 42 44 60 62 84 86	63969847806
STPT(10)	2364158789325875369	0 2 18 20 60 62 102 104 120 122	137587881438
SPT(16)	2364159006379571761	0 42 76 132 150 196 216 240 262 286 306 352 370 426 460 502	354641577830
SPT(16)	2364159044142682427	0 20 36 92 110 114 146 180 296 330 362 366 384 440 456 476	392404688496
STPT(10)	2364159305290657541	0 2 6 8 18 20 30 32 36 38	653552663610