Prime p₀= 2127771775312582249 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 54 24 2 6 60 10 32 10 60 6 2 24 54 34 (?)
a_n: 0 34 88 112 114 120 180 190 222 232 292 298 300 324 378 412
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: 412
Found by: retroactivemind
db: batch=80, k=16, 34 54 24 2 6 60 10 32

SPT(16)	2127769366386584971	0 22 30 42 100 108 130 142 156 168 190 198 256 268 276 298	-2408925997278
SPT(16)	2127769931905717769	0 18 48 60 90 104 138 150 182 194 228 242 272 284 314 332	-1843406864480
SPT(16)	2127770254151290159	0 24 64 78 90 94 112 130 192 210 228 232 244 258 298 322	-1521161292090
STPT(10)	2127770669761382717	0 2 30 32 42 44 54 56 84 86	-1105551199532
STPT(10)	2127770713177396289	0 2 30 32 60 62 90 92 120 122	-1062135185960
SPT(16)	2127771242645509693	0 58 66 94 96 124 150 168 196 214 240 268 270 298 306 364	-532667072556
STPT(10)	2127771853194462659	0 2 30 32 60 62 90 92 120 122	77881880410
SPT(16)	2127771898690023559	0 108 154 190 204 208 238 250 252 264 294 298 312 348 394 502	123377441310
SPT(16)	2127772001647311259	0 42 52 100 114 120 130 132 172 174 184 190 204 252 262 304	226334729010
STPT(10)	2127772043008521797	0 2 30 32 42 44 54 56 84 86	267695939548
STPT(10)	2127772152744157889	0 2 12 14 30 32 48 50 60 62	377431575640