Prime p₀= 2623575229901656801 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 8 28 80 24 6 12 40 12 6 24 80 28 8 52 (?)
a_n: 0 52 60 88 168 192 198 210 250 262 268 292 372 400 408 460
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: 460
Found by: JayPi
db: batch=82, k=16, 52 8 28 80 24 6 12 40

SPT(16)	2623574750864256373	0 16 30 34 78 100 144 148 156 160 204 226 270 274 288 304	-479037400428
SPT(16)	2623574948152620587	0 56 66 72 110 114 140 144 152 156 182 186 224 230 240 296	-281749036214
TPT(14)	2623575005834654087	0 2 60 62 102 104 234 236 240 242 282 284 294 296	-224067002714
SPT(16)	2623575043547122079	0 8 18 20 42 60 120 128 132 140 200 218 240 242 252 260	-186354534722
STPT(10)	2623575087262266869	0 2 42 44 90 92 138 140 180 182	-142639389932
SPT(16)	2623575116561612417	0 74 84 92 120 122 152 162 242 252 282 284 312 320 330 404	-113340044384
STPT(10)	2623575796070609291	0 2 6 8 18 20 30 32 36 38	566168952490
STPT(10)	2623576020036479771	0 2 6 8 48 50 90 92 96 98	790134822970
STPT(10)	2623576290581546759	0 2 18 20 30 32 42 44 60 62	1060679889958
SPT(16)	2623576668987415327	0 6 54 90 124 190 196 214 246 264 270 336 370 406 454 460	1439085758526
SPT(16)	2623576694067022171	0 22 66 88 100 108 130 136 252 258 280 288 300 322 366 388	1464165365370