Prime p₀= 2249146862478678541 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 24 18 18 72 8 42 70 42 8 72 18 18 24 46 (?)
a_n: 0 46 70 88 106 178 186 228 298 340 348 420 438 456 480 526
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: 526
Found by: Orange Kid
db: batch=81, k=16, 46 24 18 18 72 8 42 70

SPT(16)	2249144904032958917	0 20 42 96 110 140 144 146 150 152 156 186 200 254 276 296	-1958445719624
SPT(16)	2249145164554455221	0 36 42 68 80 90 132 182 186 236 278 288 300 326 332 368	-1697924223320
STPT(12)	2249145351154730879	0 2 42 44 132 134 180 182 270 272 312 314	-1511323947662
STPT(10)	2249145624885377081	0 2 6 8 108 110 210 212 216 218	-1237593301460
TPT(14)	2249146060535305889	0 2 12 14 42 44 72 74 102 104 270 272 282 284	-801943372652
SPT(16)	2249146140573235087	0 30 34 66 120 162 174 316 330 472 484 526 580 612 616 646	-721905443454
SPT(16)	2249147121046116373	0 64 108 136 180 196 210 234 250 274 288 304 348 376 420 484	258567437832
SPT(16)	2249147285712116743	0 10 16 64 70 100 154 156 184 186 240 270 276 324 330 340	423233438202
SPT(13)	2249147437733816617	0 12 54 60 84 114 162 210 240 264 270 312 324	575255138076
SPT(16)	2249148592155451709	0 20 32 38 42 120 144 150 242 248 272 350 354 360 372 392	1729676773168
STPT(10)	2249148635402448971	0 2 36 38 78 80 120 122 156 158	1772923770430