Prime p₀= 2944489002472824311 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 6 2 4 18 42 68 28 68 42 18 4 2 6 30 (?)
a_n: 0 30 36 38 42 60 102 170 198 266 308 326 330 332 338 368
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: 368
Found by: Alnitak2019
db: batch=82, k=16, 30 6 2 4 18 42 68 28

SPT(16)	2944487797524224297	0 26 36 42 56 80 126 140 162 176 222 246 260 266 276 302	-1204948600014
SPT(16)	2944488272411422141	0 6 28 30 52 66 108 130 138 160 202 216 238 240 262 268	-730061402170
SPT(16)	2944488522306781379	0 2 12 44 152 198 224 234 338 348 374 420 528 560 570 572	-480166042932
SPT(16)	2944488646321159607	0 14 90 102 132 152 174 194 222 242 264 284 314 326 402 416	-356151664704
SPT(16)	2944488697707381779	0 42 84 92 110 152 162 182 210 230 240 282 300 308 350 392	-304765442532
SPT(16)	2944488888450929137	0 24 70 76 94 132 142 156 160 174 184 222 240 246 292 316	-114021895174
STPT(10)	2944489054240996859	0 2 18 20 60 62 102 104 120 122	51768172548
STPT(10)	2944489284032391437	0 2 24 26 42 44 60 62 84 86	281559567126
SPT(16)	2944489357803280657	0 6 60 82 84 102 130 160 186 216 244 262 264 286 340 346	355330456346
STPT(10)	2944489444804001909	0 2 42 44 90 92 138 140 180 182	442331177598
SPT(16)	2944490488615091347	0 10 12 54 100 106 114 162 184 232 240 246 292 334 336 346	1486142267036