Prime p₀= 2080698368480729587 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 106 78 42 26 24 6 22 38 22 6 24 26 42 78 106 (?)
a_n: 0 106 184 226 252 276 282 304 342 364 370 394 420 462 540 646
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: 646
Found by: Landjunge
db: batch=80, k=16, 106 78 42 26 24 6 22 38

SPT(16)	2080697383361728009	0 4 22 30 54 72 102 112 132 142 172 190 214 222 240 244	-985119001578
SPT(16)	2080697465513681771	0 32 50 110 116 150 210 212 276 278 338 372 378 438 456 488	-902967047816
SPT(16)	2080697654749024489	0 10 22 52 90 94 100 114 118 132 138 142 180 210 222 232	-713731705098
SPT(16)	2080697846502649793	0 30 44 48 56 74 80 116 138 174 180 198 206 210 224 254	-521978079794
TPT(14)	2080697913215665031	0 2 36 38 168 170 210 212 276 278 390 392 450 452	-455265064556
STPT(10)	2080697991132688547	0 2 42 44 72 74 102 104 144 146	-377348041040
STPT(10)	2080699530878185571	0 2 6 8 48 50 90 92 96 98	1162397455984
SPT(16)	2080699554720576311	0 8 12 36 42 86 98 110 198 210 222 266 272 296 300 308	1186239846724
STPT(10)	2080699803577798211	0 2 6 8 48 50 90 92 96 98	1435097068624
STPT(10)	2080699934955028481	0 2 6 8 48 50 90 92 96 98	1566474298894
SPT(16)	2080700185819156193	0 8 18 54 78 120 138 140 144 146 164 206 230 266 276 284	1817338426606