Prime p₀= 2159977230889649351 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 70 38 42 4 44 6 34 6 44 4 42 38 70 68 (?)
a_n: 0 68 138 176 218 222 266 272 306 312 356 360 402 440 510 578
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: 578
Found by: Landjunge
db: batch=81, k=16, 68 70 38 42 4 44 6 34

SPT(16)	2159975963454966647	0 86 110 162 176 212 242 246 260 264 294 330 344 396 420 506	-1267434682704
SPT(16)	2159976227290127227	0 34 72 102 120 150 156 172 174 190 196 226 244 274 312 346	-1003599522124
SPT(16)	2159976869602576333	0 36 46 66 106 108 150 166 168 184 226 228 268 288 298 334	-361287073018
STPT(10)	2159976880530154757	0 2 30 32 42 44 54 56 84 86	-350359494594
STPT(10)	2159977026915917777	0 2 12 14 42 44 72 74 84 86	-203973731574
SPT(16)	2159977199899534781	0 2 6 72 78 96 120 152 156 188 212 230 236 302 306 308	-30990114570
SPT(16)	2159977993174716907	0 22 36 84 90 126 174 196 240 262 310 346 352 400 414 436	762285067556
STPT(10)	2159978666321601449	0 2 18 20 60 62 102 104 120 122	1435431952098
STPT(10)	2159978762509848821	0 2 30 32 78 80 126 128 156 158	1531620199470
SPT(16)	2159978909773673011	0 28 48 52 60 66 72 78 100 106 112 118 126 130 150 178	1678884023660
SPT(16)	2159979314328170779	0 22 42 52 54 72 94 114 148 168 190 208 210 220 240 262	2083438521428