Prime p₀= 2085699270121687217 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 20 78 30 22 32 6 4 6 32 22 30 78 20 12 (?)
a_n: 0 12 32 110 140 162 194 200 204 210 242 264 294 372 392 404
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: 404
Found by: Daniel
db: batch=80, k=16, 12 20 78 30 22 32 6 4

SPT(16)	2085698959698191419	0 4 22 24 30 64 82 154 180 252 270 304 310 312 330 334	-310423495798
STPT(10)	2085698979468809099	0 2 48 50 90 92 132 134 180 182	-290652878118
SPT(16)	2085698990052933293	0 36 48 68 90 98 146 150 194 198 246 254 276 296 308 344	-280068753924
STPT(10)	2085699043065063869	0 2 132 134 210 212 288 290 420 422	-227056623348
STPT(10)	2085699127944893471	0 2 6 8 48 50 90 92 96 98	-142176793746
STPT(12)	2085699177703586519	0 2 18 20 42 44 48 50 72 74 90 92	-92418100698
STPT(10)	2085699732880939001	0 2 30 32 78 80 126 128 156 158	462759251784
SPT(16)	2085699766722100541	0 6 18 36 78 90 96 116 162 182 188 200 242 260 272 278	496600413324
STPT(10)	2085700031501058569	0 2 18 20 60 62 102 104 120 122	761379371352
SPT(16)	2085700191414076877	0 24 44 80 126 156 180 212 234 266 290 320 366 402 422 446	921292389660
STPT(10)	2085700391231774411	0 2 6 8 48 50 90 92 96 98	1121110087194