Prime p₀= 2343755114993590559 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 26 82 2 30 10 18 38 18 10 30 2 82 26 24 (?)
a_n: 0 24 50 132 134 164 174 192 230 248 258 288 290 372 398 422
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: 422
Found by: Landjunge
db: batch=81, k=16, 24 26 82 2 30 10 18 38

SPT(16)	2343753486486099251	0 2 20 42 72 90 156 158 210 212 278 296 326 348 366 368	-1628507491308
SPT(16)	2343753569635542187	0 36 70 106 112 120 126 132 160 166 172 180 186 222 256 292	-1545358048372
SPT(16)	2343753623159208739	0 34 42 100 108 118 168 202 300 334 384 394 402 460 468 502	-1491834381820
SPT(16)	2343754030466241623	0 26 48 68 84 90 110 138 146 174 194 200 216 236 258 284	-1084527348936
STPT(10)	2343754313665864709	0 2 78 80 120 122 162 164 240 242	-801327725850
SPT(16)	2343755040699588811	0 40 52 60 88 100 102 120 130 148 150 162 190 198 210 250	-74294001748
STPT(10)	2343755286379453937	0 2 42 44 72 74 102 104 144 146	171385863378
STPT(10)	2343756345221522897	0 2 12 14 42 44 72 74 84 86	1230227932338
STPT(10)	2343756421000510331	0 2 6 8 48 50 90 92 96 98	1306006919772
SPT(16)	2343756553979794469	0 18 20 32 38 84 92 150 242 300 308 354 360 372 374 392	1438986203910
STPT(10)	2343756756535188737	0 2 12 14 42 44 72 74 84 86	1641541598178