Prime p₀= 2296624413200739341 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 10 2 64 38 30 36 76 36 30 38 64 2 10 56 (?)
a_n: 0 56 66 68 132 170 200 236 312 348 378 416 480 482 492 548
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: 548
Found by: Orange Kid
db: batch=81, k=16, 56 10 2 64 38 30 36 76

SPT(16)	2296623525797016511	0 78 82 88 90 118 130 160 258 288 300 328 330 336 340 418	-887403722830
SPT(16)	2296623758651756407	0 66 76 124 136 142 156 172 264 280 294 300 312 360 370 436	-654548982934
STPT(10)	2296623843598717049	0 2 18 20 30 32 42 44 60 62	-569602022292
STPT(10)	2296623908297950547	0 2 30 32 42 44 54 56 84 86	-504902788794
SPT(16)	2296624002991190029	0 40 54 58 78 100 124 148 174 198 222 244 264 268 282 322	-410209549312
SPT(16)	2296624252838586821	0 8 20 42 62 132 156 206 222 272 296 366 386 408 420 428	-160362152520
SPT(16)	2296624466553352423	0 4 34 88 130 168 210 270 328 388 430 468 510 564 594 598	53352613082
SPT(16)	2296624566111827969	0 8 54 80 92 212 218 248 264 294 300 420 432 458 504 512	152911088628
SPT(16)	2296625433080680049	0 12 24 50 98 104 108 110 162 164 168 174 222 248 260 272	1019879940708
STPT(12)	2296626078435486401	0 2 30 32 48 50 198 200 216 218 246 248	1665234747060
STPT(10)	2296626106178560361	0 2 6 8 18 20 30 32 36 38	1692977821020