Prime p₀= 2687947878294595153 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 6 56 4 38 16 6 14 6 16 38 4 56 6 34 (?)
a_n: 0 34 40 96 100 138 154 160 174 180 196 234 238 294 300 334
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 334
Found by: JayPi
db: batch=82, k=16, 34 6 56 4 38 16 6 14

SPT(16)	2687946246273294311	0 2 26 32 126 156 200 222 260 282 326 356 450 456 480 482	-1632021300842
STPT(12)	2687946497807180369	0 2 12 14 42 44 60 62 90 92 102 104	-1380487414784
STPT(10)	2687946732660027257	0 2 42 44 72 74 102 104 144 146	-1145634567896
SPT(16)	2687947011014530387	0 30 90 124 126 264 366 436 444 514 616 754 756 790 850 880	-867280064766
STPT(10)	2687947394100871499	0 2 18 20 60 62 102 104 120 122	-484193723654
SPT(16)	2687947484931580681	0 28 60 82 90 102 130 196 222 288 316 328 336 358 390 418	-393363014472
STPT(10)	2687948251582748237	0 2 30 32 72 74 114 116 144 146	373288153084
SPT(16)	2687948524897744783	0 6 34 76 90 120 154 166 234 246 280 310 324 366 394 400	646603149630
SPT(16)	2687948654442360943	0 40 78 100 106 126 166 258 316 408 448 468 474 496 534 574	776147765790
SPT(16)	2687948793660192191	0 8 72 90 132 150 182 258 332 408 440 458 500 518 582 590	915365597038
SPT(16)	2687948881575512537	0 20 26 90 110 176 212 230 246 264 300 366 386 450 456 476	1003280917384