Prime p₀= 2767478479624252127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2767477636678206797	0 14 24 36 42 102 146 234 242 330 374 434 440 452 462 476	-842946045330
STPT(10)	2767477755756892037	0 2 30 32 72 74 114 116 144 146	-723867360090
TPT(14)	2767477948472821007	0 2 12 14 72 74 84 86 114 116 144 146 384 386	-531151431120
SPT(16)	2767478033578762027	0 12 52 84 94 132 144 172 222 250 262 300 310 342 382 394	-446045490100
STPT(10)	2767478348762343449	0 2 48 50 60 62 72 74 120 122	-130861908678
SPT(16)	2767478438612322233	0 138 156 164 194 240 260 288 326 354 374 420 450 458 476 614	-41011929894
SPT(16)	2767479005215283003	0 8 38 66 80 144 164 198 206 240 260 324 338 366 396 404	525591030876
STPT(10)	2767479504062721587	0 2 12 14 42 44 72 74 84 86	1024438469460
SPT(16)	2767479553568751737	0 6 42 44 114 132 134 200 216 282 284 302 372 374 410 416	1073944499610
SPT(16)	2767480495155278549	0 20 84 108 110 122 150 168 194 212 240 252 254 278 342 362	2015531026422
SPT(16)	2767480727432871869	0 2 12 24 30 44 74 104 108 138 168 182 188 200 210 212	2247808619742