Prime p₀= 2774876734034296967 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 6 22 8 4 56 10 2 10 56 4 8 22 6 56 (?)
a_n: 0 56 62 84 92 96 152 162 164 174 230 234 242 264 270 326
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: 326
Found by: JayPi
db: batch=82, k=16, 56 6 22 8 4 56 10 2

SPT(16)	2774875315249313917	0 34 42 54 64 84 180 190 216 226 322 342 352 364 372 406	-1418784983050
SPT(16)	2774875363577872273	0 34 88 118 124 190 234 244 264 274 318 384 390 420 474 508	-1370456424694
SPT(16)	2774876130960598237	0 4 30 40 42 52 72 96 100 124 144 154 156 166 192 196	-603073698730
SPT(16)	2774876160024134311	0 10 18 70 82 136 138 150 208 220 222 276 288 340 348 358	-574010162656
STPT(10)	2774876226140791649	0 2 30 32 60 62 90 92 120 122	-507893505318
STPT(10)	2774876513735636279	0 2 48 50 90 92 132 134 180 182	-220298660688
STPT(10)	2774876829719405069	0 2 138 140 180 182 222 224 360 362	95685108102
SPT(16)	2774877201010720469	0 2 14 20 30 174 188 224 228 264 278 422 432 438 450 452	466976423502
SPT(16)	2774877257645471767	0 10 12 40 52 66 112 150 346 384 430 444 456 484 486 496	523611174800
STPT(10)	2774877844305640259	0 2 18 20 30 32 42 44 60 62	1110271343292
SPT(18)	2774877988003018819	0 10 12 54 60 132 148 154 174 208 228 234 250 322 328 370 372 382	1253968721852