Prime p₀= 2113288673582247037 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 2 4 56 76 12 66 56 66 12 76 56 4 2 4 (?)
a_n: 0 4 6 10 66 142 154 220 276 342 354 430 486 490 492 496
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: 496
Found by: Paul
db: batch=80, k=16, 4 2 4 56 76 12 66 56

SPT(16)	2113287992361048331	0 28 36 48 72 78 112 132 136 156 190 196 220 232 240 268	-681221198706
SPT(16)	2113287993808606127	0 2 36 44 102 132 156 182 234 260 284 314 372 380 414 416	-679773640910
STPT(10)	2113288047033879887	0 2 42 44 132 134 222 224 264 266	-626548367150
STPT(10)	2113288382204939879	0 2 30 32 60 62 90 92 120 122	-291377307158
SPT(16)	2113288386861477599	0 60 74 90 98 132 140 152 210 222 230 264 272 288 302 362	-286720769438
SPT(18)	2113288610554084697	0 6 30 42 66 84 132 182 222 224 264 314 362 380 404 416 440 446	-63028162340
STPT(10)	2113288793592841619	0 2 18 20 30 32 42 44 60 62	120010594582
SPT(16)	2113288805532833839	0 22 54 60 84 100 108 130 162 184 192 208 232 238 270 292	131950586802
SPT(16)	2113288832541155173	0 16 48 100 108 114 144 178 276 310 340 346 354 406 438 454	158958908136
STPT(10)	2113288918984582607	0 2 30 32 72 74 114 116 144 146	245402335570
SPT(16)	2113289174530934087	0 2 42 44 74 140 174 176 210 212 246 312 342 344 384 386	500948687050