Prime p₀= 2356562615191176547 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 64 6 54 2 4 50 30 16 30 50 4 2 54 6 64 (?)
a_n: 0 64 70 124 126 130 180 210 226 256 306 310 312 366 372 436
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: 436
Found by: Landjunge
db: batch=81, k=16, 64 6 54 2 4 50 30 16

SPT(16)	2356562019213416747	0 24 36 122 132 140 194 266 270 342 396 404 414 500 512 536	-595977759800
SPT(16)	2356562172641377979	0 18 32 68 78 80 110 144 158 192 222 224 234 270 284 302	-442549798568
SPT(16)	2356562173931716981	0 6 28 60 126 130 132 168 220 256 258 262 328 360 382 388	-441259459566
STPT(10)	2356562250739873901	0 2 6 8 48 50 90 92 96 98	-364451302646
SPT(16)	2356562354026247467	0 24 34 46 66 70 84 90 106 112 126 130 150 162 172 196	-261164929080
STPT(10)	2356562567858004629	0 2 12 14 30 32 48 50 60 62	-47333171918
SPT(16)	2356562740168291271	0 8 12 18 42 56 80 110 168 198 222 236 260 266 270 278	124977114724
TPT(16)	2356563615895358237	0 2 12 14 30 32 60 62 84 86 210 212 294 296 522 524	1000704181690
STPT(10)	2356564247031247397	0 2 60 62 72 74 84 86 144 146	1631840070850
SPT(16)	2356564790716482881	0 2 12 30 86 110 176 192 236 252 318 342 398 416 426 428	2175525306334
SPT(16)	2356565086256571331	0 18 70 82 88 100 108 120 130 142 150 162 168 180 232 250	2471065394784