Prime p₀= 2310163762413141199 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 30 58 8 10 38 24 58 24 38 10 8 58 30 24 (?)
a_n: 0 24 54 112 120 130 168 192 250 274 312 322 330 388 418 442
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: 442
Found by: FritzB
db: batch=81, k=16, 24 30 58 8 10 38 24 58

STPT(10)	2310162823888809287	0 2 30 32 72 74 114 116 144 146	-938524331912
TPT(14)	2310163088687714969	0 2 18 20 42 44 78 80 90 92 102 104 372 374	-673725426230
SPT(16)	2310163224825504677	0 44 56 72 126 180 182 210 326 354 356 410 464 480 492 536	-537587636522
SPT(16)	2310163274712999149	0 12 38 68 122 132 140 152 360 372 380 390 444 474 500 512	-487700142050
TPT(14)	2310163365721187099	0 2 30 32 90 92 102 104 132 134 138 140 168 170	-396691954100
STPT(12)	2310163679756294489	0 2 30 32 72 74 138 140 180 182 210 212	-82656846710
STPT(10)	2310163785428762111	0 2 36 38 78 80 120 122 156 158	23015620912
TPT(14)	2310164061666193487	0 2 30 32 60 62 72 74 144 146 252 254 264 266	299253052288
STPT(10)	2310164121743221109	0 2 42 44 60 62 78 80 120 122	359330079910
TPT(14)	2310164732628798077	0 2 102 104 114 116 132 134 180 182 324 326 354 356	970215656878
STPT(10)	2310165025751970521	0 2 36 38 78 80 120 122 156 158	1263338829322