Prime p₀= 1242564678363764029 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 96 28 44 6 40 26 40 6 44 28 96 20 4 (?)
a_n: 0 4 24 120 148 192 198 238 264 304 310 354 382 478 498 502
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: 502
Found by: Theadalus
db: batch=77, k=16, 4 20 96 28 44 6 40 26

STPT(10)	1242563138360596397	0 2 42 44 72 74 102 104 144 146	-1540003167632
SPT(16)	1242563218531572683	0 14 18 30 158 228 254 260 264 270 296 366 494 506 510 524	-1459832191346
SPT(16)	1242563698414701043	0 28 78 90 120 148 190 196 300 306 348 376 406 418 468 496	-979949062986
SPT(16)	1242563779991630743	0 28 58 64 78 100 124 154 204 234 258 280 294 300 330 358	-898372133286
STPT(10)	1242564343351912349	0 2 18 20 30 32 42 44 60 62	-335011851680
SPT(16)	1242564444407393333	0 14 30 66 78 90 114 146 228 260 284 296 308 344 360 374	-233956370696
STPT(10)	1242564751905576269	0 2 18 20 60 62 102 104 120 122	73541812240
SPT(16)	1242564770267625397	0 10 24 84 90 112 124 130 216 222 234 256 262 322 336 346	91903861368
SPT(16)	1242564788102057221	0 76 106 120 126 132 162 190 378 406 436 442 448 462 492 568	109738293192
SPT(16)	1242564821112474421	0 16 30 42 100 118 130 148 210 228 240 258 316 328 342 358	142748710392
SPT(16)	1242565004600045263	0 18 54 60 100 114 120 156 298 334 340 354 394 400 436 454	326236281234