Prime p₀= 2311893682636830359 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 56 4 138 12 6 54 56 54 6 12 138 4 56 12 (?)
a_n: 0 12 68 72 210 222 228 282 338 392 398 410 548 552 608 620
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: 620
Found by: Landjunge
db: batch=81, k=16, 12 56 4 138 12 6 54 56

SPT(16)	2311893242142668039	0 14 20 42 50 60 62 72 92 102 104 114 122 144 150 164	-440494162320
STPT(10)	2311893245874044351	0 2 36 38 78 80 120 122 156 158	-436762786008
SPT(16)	2311893371662487099	0 2 42 68 92 110 200 224 258 282 372 390 414 440 480 482	-310974343260
STPT(10)	2311893453950691137	0 2 90 92 102 104 114 116 204 206	-228686139222
SPT(16)	2311893612588251203	0 18 24 64 78 88 120 130 144 154 186 196 210 250 256 274	-70048579156
STPT(10)	2311893663181494011	0 2 6 8 48 50 90 92 96 98	-19455336348
SPT(16)	2311893808180952141	0 12 18 48 132 156 168 180 188 200 212 236 320 350 356 368	125544121782
SPT(16)	2311893920114224297	0 10 22 52 124 154 180 220 246 286 312 342 414 444 456 466	237477393938
SPT(16)	2311894240693590629	0 32 60 68 74 84 108 140 192 224 248 258 264 272 300 332	558056760270
SPT(16)	2311894453432351913	0 66 90 98 104 110 138 180 224 266 294 300 306 314 338 404	770795521554
TPT(14)	2311894628202810191	0 2 6 8 30 32 48 50 60 62 90 92 126 128	945565979832