Prime p₀= 4044827602977226003 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 12 24 30 44 10 6 146 6 10 44 30 24 12 58 (?)
a_n: 0 58 70 94 124 168 178 184 330 336 346 390 420 444 456 514
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: 514
Found by: Alnitak2019
db: batch=84, k=16, 58 12 24 30 44 10 6 146

STPT(10)	4044825271724403347	0 2 30 32 42 44 54 56 84 86	-2331252822656
SPT(16)	4044825337693821797	0 20 44 204 212 242 252 260 264 272 282 312 320 480 504 524	-2265283404206
SPT(16)	4044825401736304811	0 48 68 90 140 146 176 198 230 252 282 288 338 360 380 428	-2201240921192
SPT(16)	4044826351534222531	0 16 72 90 102 118 216 222 286 292 390 406 418 436 492 508	-1251443003472
SPT(16)	4044826629615014179	0 88 100 102 124 144 150 154 198 202 208 228 250 252 264 352	-973362211824
SPT(16)	4044827599639819481	0 12 20 48 108 126 156 170 378 392 422 440 500 528 536 548	-3337406522
SPT(16)	4044827939591882341	0 22 28 30 42 90 106 132 136 162 178 226 238 240 246 268	336614656338
SPT(16)	4044828126921112673	0 6 18 86 90 116 140 156 158 174 198 224 228 296 308 314	523943886670
STPT(10)	4044828163529172989	0 2 12 14 30 32 48 50 60 62	560551946986
SPT(16)	4044828333604944091	0 16 40 82 108 118 120 150 208 238 240 250 276 318 342 358	730627718088
SPT(16)	4044828344177067649	0 12 82 88 90 112 138 222 250 334 360 382 384 390 460 472	741199841646