Prime p₀= 2868913716766471567 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 12 78 18 48 26 126 22 126 26 48 18 78 12 34 (?)
a_n: 0 34 46 124 142 190 216 342 364 490 516 564 582 660 672 706
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: 706
Found by: Landjunge
db: batch=82, k=16, 34 12 78 18 48 26 126 22

STPT(10)	2868912348068754509	0 2 18 20 30 32 42 44 60 62	-1368697717058
STPT(10)	2868912428632332749	0 2 42 44 60 62 78 80 120 122	-1288134138818
TPT(14)	2868912613085402561	0 2 30 32 138 140 240 242 270 272 276 278 318 320	-1103681069006
SPT(16)	2868912808006177607	0 26 54 122 176 236 240 266 360 386 390 450 504 572 600 626	-908760293960
SPT(16)	2868913017632470297	0 10 12 40 42 54 60 84 112 136 142 154 156 184 186 196	-699134001270
SPT(16)	2868913053006147383	0 56 74 168 174 210 228 266 318 356 374 410 416 510 528 584	-663760324184
SPT(16)	2868913758399145169	0 32 48 74 138 144 192 194 228 230 278 284 348 374 390 422	41632673602
STPT(10)	2868913820493380741	0 2 6 8 48 50 90 92 96 98	103726909174
STPT(10)	2868914143787218727	0 2 54 56 72 74 90 92 144 146	427020747160
STPT(10)	2868914154894870737	0 2 30 32 72 74 114 116 144 146	438128399170
SPT(16)	2868914179646242951	0 10 16 48 90 108 126 160 168 202 220 238 280 312 318 328	462879771384