Prime p₀= 2377252340550877519 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 44 10 12 20 70 38 16 38 70 20 12 10 44 4 (?)
a_n: 0 4 48 58 70 90 160 198 214 252 322 342 354 364 408 412
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: Landjunge
db: batch=81, k=16, 4 44 10 12 20 70 38 16

SPT(16)	2377250187255127937	0 2 36 44 86 102 110 120 176 186 194 210 252 260 294 296	-2153295749582
SPT(16)	2377250699385739153	0 48 64 78 88 126 138 166 168 196 208 246 256 270 286 334	-1641165138366
SPT(16)	2377250734052584969	0 10 22 34 60 78 124 160 222 258 304 322 348 360 372 382	-1606498292550
STPT(10)	2377250758618559099	0 2 12 14 90 92 168 170 180 182	-1581932318420
SPT(16)	2377251022768430737	0 10 24 34 64 70 84 90 106 112 126 132 162 172 186 196	-1317782446782
SPT(16)	2377251151820887171	0 46 78 88 96 112 148 162 166 180 216 232 240 250 282 328	-1188729990348
STPT(10)	2377252724724501929	0 2 42 44 90 92 138 140 180 182	384173624410
SPT(16)	2377253235463180579	0 18 22 58 82 142 150 220 240 310 318 378 402 438 442 460	894912303060
STPT(10)	2377253237761690877	0 2 30 32 42 44 54 56 84 86	897210813358
TPT(14)	2377253575870256099	0 2 18 20 42 44 132 134 168 170 210 212 228 230	1235319378580
SPT(16)	2377254251280386327	0 14 26 66 72 170 176 180 236 240 246 344 350 390 402 416	1910729508808