Prime p₀= 2310226962301326023 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 30 84 6 4 18 48 26 48 18 4 6 84 30 14 (?)
a_n: 0 14 44 128 134 138 156 204 230 278 296 300 306 390 420 434
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: 434
Found by: FritzB
db: batch=81, k=16, 14 30 84 6 4 18 48 26

SPT(16)	2310226005010296143	0 24 38 56 60 66 80 84 110 114 128 134 138 156 170 194	-957291029880
STPT(10)	2310226042620798017	0 2 60 62 72 74 84 86 144 146	-919680528006
SPT(16)	2310226496079448907	0 24 30 44 86 114 132 134 162 164 182 210 252 266 272 296	-466221877116
STPT(12)	2310226702837807067	0 2 12 14 72 74 150 152 210 212 222 224	-259463518956
SPT(16)	2310226869924507791	0 48 50 78 90 102 140 168 200 228 266 278 290 318 320 368	-92376818232
SPT(16)	2310226914622917383	0 74 80 120 168 218 240 246 458 464 486 536 584 624 630 704	-47678408640
TPT(14)	2310227016699344381	0 2 18 20 36 38 78 80 90 92 156 158 216 218	54398018358
SPT(16)	2310227555276198197	0 24 40 70 82 126 136 156 160 180 190 234 246 276 292 316	592974872174
SPT(16)	2310227753338425199	0 24 108 118 132 142 154 168 184 198 210 220 234 244 328 352	791037099176
SPT(16)	2310228308880399079	0 22 58 60 130 204 250 258 364 372 418 492 562 564 600 622	1346579073056
TPT(14)	2310228614744324957	0 2 12 14 42 44 60 62 90 92 144 146 180 182	1652442998934