Prime p₀= 3022872994524296491 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 6 84 58 12 50 16 32 16 50 12 58 84 6 12 (?)
a_n: 0 12 18 102 160 172 222 238 270 286 336 348 406 490 496 508
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: JayPi
db: batch=82, k=16, 12 6 84 58 12 50 16 32

SPT(16)	3022870776141541363	0 36 58 70 148 198 210 250 324 364 376 426 504 516 538 574	-2218382755128
STPT(10)	3022870812954503837	0 2 42 44 72 74 102 104 144 146	-2181569792654
SPT(16)	3022871013977103943	0 34 90 108 118 154 244 264 280 300 390 426 436 454 510 544	-1980547192548
SPT(16)	3022871366369548439	0 14 32 54 152 158 182 204 218 240 264 270 368 390 408 422	-1628154748052
STPT(10)	3022871708433366479	0 2 18 20 30 32 42 44 60 62	-1286090930012
STPT(10)	3022872274405846361	0 2 36 38 78 80 120 122 156 158	-720118450130
STPT(10)	3022873062371593727	0 2 90 92 102 104 114 116 204 206	67847297236
TPT(14)	3022873378834924001	0 2 90 92 126 128 156 158 210 212 228 230 246 248	384310627510
STPT(10)	3022873577244717809	0 2 18 20 30 32 42 44 60 62	582720421318
SPT(16)	3022873835995447943	0 14 48 78 134 158 164 216 218 270 276 300 356 386 420 434	841471151452
SPT(16)	3022874195417832541	0 36 88 108 130 132 136 210 238 312 316 318 340 360 412 448	1200893536050