Prime p₀= 1022769959619161063 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 70 36 14 30 24 6 124 6 24 30 14 36 70 50 (?)
a_n: 0 50 120 156 170 200 224 230 354 360 384 414 428 464 534 584
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: 584
Found by: Theadalus
db: batch=76, k=16, 50 70 36 14 30 24 6 124

SPT(16)	1022769331442772677	0 14 36 56 86 126 134 140 180 186 194 234 264 284 306 320	-628176388386
SPT(16)	1022769446905126147	0 12 22 34 66 94 120 126 190 196 222 250 282 294 304 316	-512714034916
STPT(10)	1022769487060024139	0 2 42 44 60 62 78 80 120 122	-472559136924
SPT(16)	1022769510477170591	0 92 108 150 170 188 230 240 260 270 312 330 350 392 408 500	-449141990472
STPT(10)	1022769681302045387	0 2 12 14 42 44 72 74 84 86	-278317115676
STPT(10)	1022769867699800279	0 2 12 14 90 92 168 170 180 182	-91919360784
STPT(10)	1022770004922531917	0 2 84 86 102 104 120 122 204 206	45303370854
SPT(16)	1022770141831866499	0 24 60 70 88 108 112 142 180 210 214 234 252 262 298 322	182212705436
SPT(16)	1022770164062815099	0 52 54 60 94 114 120 130 204 214 220 240 274 280 282 334	204443654036
SPT(16)	1022770260004334189	0 8 20 74 188 210 258 260 318 320 368 390 504 558 570 578	300385173126
STPT(10)	1022770394549869697	0 2 30 32 42 44 54 56 84 86	434930708634