Prime p₀= 2999092206774174617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2999091054839770997	0 2 12 14 42 44 72 74 84 86	-1151934403620
STPT(10)	2999091116274126689	0 2 12 14 30 32 48 50 60 62	-1090500047928
SPT(16)	2999091149725144049	0 2 30 32 38 108 140 144 188 192 224 294 300 302 330 332	-1057049030568
SPT(16)	2999091225575773849	0 24 30 42 108 162 184 204 268 288 310 364 430 442 448 472	-981198400768
TPT(14)	2999091265058304179	0 2 12 14 78 80 162 164 168 170 240 242 330 332	-941715870438
SPT(16)	2999091620923864111	0 18 22 60 118 132 148 162 196 210 226 240 298 336 340 358	-585850310506
SPT(16)	2999092330899858581	0 26 42 62 66 92 120 168 230 278 306 332 336 356 372 398	124125683964
SPT(16)	2999092371171668797	0 42 60 90 120 174 186 226 270 310 322 376 406 436 454 496	164397494180
SPT(16)	2999092447877342251	0 52 78 102 136 156 168 196 222 250 262 282 316 340 366 418	241103167634
STPT(10)	2999092828266154517	0 2 60 62 72 74 84 86 144 146	621491979900
STPT(10)	2999092996845059507	0 2 30 32 42 44 54 56 84 86	790070884890