Prime p₀= 2774875363577872273 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 54 30 6 66 44 10 20 10 44 66 6 30 54 34 (?)
a_n: 0 34 88 118 124 190 234 244 264 274 318 384 390 420 474 508
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: 508
Found by: UBT - Timbo
db: batch=82, k=16, 34 54 30 6 66 44 10 20

TPT(14)	2774874087271794437	0 2 12 14 72 74 180 182 210 212 354 356 360 362	-1276306077836
STPT(10)	2774874236813611349	0 2 18 20 30 32 42 44 60 62	-1126764260924
SPT(16)	2774874734869365727	0 60 76 96 162 174 190 222 274 306 322 334 400 420 436 496	-628708506546
STPT(10)	2774875191123148439	0 2 18 20 30 32 42 44 60 62	-172454723834
STPT(10)	2774875286077773119	0 2 42 44 90 92 138 140 180 182	-77500099154
SPT(16)	2774875315249313917	0 34 42 54 64 84 180 190 216 226 322 342 352 364 372 406	-48328558356
SPT(16)	2774876130960598237	0 4 30 40 42 52 72 96 100 124 144 154 156 166 192 196	767382725964
SPT(16)	2774876160024134311	0 10 18 70 82 136 138 150 208 220 222 276 288 340 348 358	796446262038
STPT(10)	2774876226140791649	0 2 30 32 60 62 90 92 120 122	862562919376
STPT(10)	2774876513735636279	0 2 48 50 90 92 132 134 180 182	1150157764006
SPT(16)	2774876734034296967	0 56 62 84 92 96 152 162 164 174 230 234 242 264 270 326	1370456424694