Prime p₀= 4167938905293658993 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 6 8 136 30 86 30 22 30 86 30 136 8 6 40 (?)
a_n: 0 40 46 54 190 220 306 336 358 388 474 504 640 648 654 694
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: 694
Found by: Stony666
db: batch=85, k=16, 40 6 8 136 30 86 30 22

SPT(16)	4167938182913713457	0 12 60 140 194 230 236 264 272 300 306 342 396 476 524 536	-722379945536
STPT(10)	4167938225783614481	0 2 108 110 138 140 168 170 276 278	-679510044512
STPT(10)	4167938255337228311	0 2 36 38 78 80 120 122 156 158	-649956430682
STPT(10)	4167938389527631391	0 2 30 32 78 80 126 128 156 158	-515766027602
STPT(10)	4167938566910808491	0 2 6 8 48 50 90 92 96 98	-338382850502
STPT(10)	4167938832896972057	0 2 12 14 42 44 72 74 84 86	-72396686936
TPT(14)	4167938974397541479	0 2 12 14 48 50 90 92 132 134 168 170 180 182	69103882486
STPT(14)	4167938974397541479	0 2 12 14 48 50 90 92 132 134 168 170 180 182	69103882486
STPT(10)	4167939687751044221	0 2 30 32 78 80 126 128 156 158	782457385228
STPT(12)	4167940001182601009	0 2 78 80 90 92 120 122 132 134 210 212	1095888942016
SPT(16)	4167940204960903549	0 12 40 48 90 100 114 138 154 178 192 202 244 252 280 292	1299667244556