Prime p₀= 1006249630503223849 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 66 14 40 6 8 12 58 12 8 6 40 14 66 4 (?)
a_n: 0 4 70 84 124 130 138 150 208 220 228 234 274 288 354 358
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: 358
Found by: HenkM
db: batch=76, k=16, 4 66 14 40 6 8 12 58

SPT(16)	1006248314114278073	0 54 56 86 90 104 114 126 284 296 306 320 324 354 356 410	-1316388945776
STPT(10)	1006248714205511207	0 2 54 56 72 74 90 92 144 146	-916297712642
SPT(16)	1006248919102162811	0 20 36 78 96 108 150 168 188 206 248 260 278 320 336 356	-711401061038
STPT(10)	1006249333802567159	0 2 48 50 90 92 132 134 180 182	-296700656690
STPT(10)	1006249386063320039	0 2 12 14 90 92 168 170 180 182	-244439903810
STPT(10)	1006249417521497291	0 2 6 8 18 20 30 32 36 38	-212981726558
SPT(16)	1006249642130686511	0 38 60 122 152 288 308 312 368 372 392 528 558 620 642 680	11627462662
SPT(16)	1006250024028538117	0 54 96 112 124 132 174 184 192 202 244 252 264 280 322 376	393525314268
STPT(10)	1006250045582470847	0 2 12 14 72 74 132 134 144 146	415079246998
SPT(16)	1006250050693712567	0 14 30 44 66 110 164 204 212 252 306 350 372 386 402 416	420190488718
SPT(18)	1006250440764996403	0 6 40 48 54 78 84 96 144 190 238 250 256 280 286 294 328 334	810261772554