Prime p₀= 1586096328312092347 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 42 18 16 56 4 50 4 56 16 18 42 20 4 (?)
a_n: 0 4 24 66 84 100 156 160 210 214 270 286 304 346 366 370
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: 370
Found by: crashtech
db: batch=78, k=16, 4 20 42 18 16 56 4 50

STPT(10)	1586095189869209441	0 2 36 38 78 80 120 122 156 158	-1138442882906
SPT(16)	1586095266001396321	0 42 118 160 196 208 216 262 276 322 330 342 378 420 496 538	-1062310696026
STPT(10)	1586095292726387579	0 2 48 50 90 92 132 134 180 182	-1035585704768
TPT(14)	1586095792397361041	0 2 18 20 30 32 60 62 96 98 156 158 168 170	-535914731306
STPT(10)	1586096122524121751	0 2 6 8 48 50 90 92 96 98	-205787970596
SPT(16)	1586096307534642041	0 8 68 108 132 180 186 242 336 392 398 446 470 510 570 578	-20777450306
STPT(10)	1586096637647653667	0 2 30 32 42 44 54 56 84 86	309335561320
SPT(16)	1586098320099010579	0 10 28 30 72 78 82 108 112 138 142 148 190 192 210 220	1991786918232
SPT(16)	1586098339734374629	0 28 34 48 60 94 154 160 168 174 234 268 280 294 300 328	2011422282282
SPT(16)	1586098398253370723	0 18 36 80 86 96 108 116 120 128 140 150 156 200 218 236	2069941278376
SPT(16)	1586098591088714237	0 42 156 182 194 210 252 314 342 404 446 462 474 500 614 656	2262776621890