Prime p₀= 1245261433550923807 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 18 42 140 22 12 30 14 30 12 22 140 42 18 22 (?)
a_n: 0 22 40 82 222 244 256 286 300 330 342 364 504 546 564 586
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: 586
Found by: Megacruncher
db: batch=77, k=16, 22 18 42 140 22 12 30 14

SPT(16)	1245260211741863167	0 42 64 144 154 174 180 222 274 316 322 342 352 432 454 496	-1221809060640
STPT(10)	1245260695394639387	0 2 90 92 102 104 114 116 204 206	-738156284420
SPT(16)	1245260750605914013	0 10 28 66 76 184 196 226 228 258 270 378 388 426 444 454	-682945009794
TPT(14)	1245261164707684181	0 2 30 32 66 68 78 80 168 170 180 182 336 338	-268843239626
STPT(10)	1245261297673767461	0 2 6 8 48 50 90 92 96 98	-135877156346
TPT(14)	1245261348786932129	0 2 30 32 72 74 78 80 168 170 210 212 252 254	-84763991678
STPT(10)	1245261491064813317	0 2 30 32 42 44 54 56 84 86	57513889510
STPT(10)	1245261580767426977	0 2 60 62 72 74 84 86 144 146	147216503170
STPT(10)	1245261642031252127	0 2 60 62 72 74 84 86 144 146	208480328320
SPT(16)	1245262216362020821	0 6 12 96 100 150 160 240 262 342 352 402 406 490 496 502	782811097014
SPT(16)	1245263197181457607	0 6 30 82 90 114 180 184 192 196 262 286 294 346 370 376	1763630533800