Prime p₀= 2122407308654874793 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 2 28 42 62 130 18 62 18 130 62 42 28 2 4 (?)
a_n: 0 4 6 34 76 138 268 286 348 366 496 558 600 628 630 634
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: 634
Found by: Landjunge
db: batch=80, k=16, 4 2 28 42 62 130 18 62

SPT(16)	2122405389529967551	0 22 28 66 118 130 162 172 216 226 258 270 322 360 366 388	-1919124907242
SPT(16)	2122405870258418389	0 12 28 58 78 168 190 208 222 240 262 352 372 402 418 430	-1438396456404
SPT(16)	2122405993983417931	0 70 96 138 150 222 228 232 276 280 286 358 370 412 438 508	-1314671456862
STPT(10)	2122406140264810451	0 2 6 8 18 20 30 32 36 38	-1168390064342
STPT(10)	2122406224646331929	0 2 48 50 90 92 132 134 180 182	-1084008542864
SPT(16)	2122406952735403489	0 4 12 42 72 114 154 162 172 180 220 262 292 322 330 334	-355919471304
STPT(10)	2122407431242488191	0 2 6 8 48 50 90 92 96 98	122587613398
STPT(10)	2122408086783638411	0 2 6 8 18 20 30 32 36 38	778128763618
SPT(20)	2122408136631486623	0 36 50 86 90 110 164 176 216 266 414 464 504 516 570 590 594 630 644 680	827976611830
STPT(10)	2122408310553174401	0 2 6 8 18 20 30 32 36 38	1001898299608
SPT(16)	2122408347891326111	0 38 42 66 68 108 126 138 170 182 200 240 242 266 270 308	1039236451318