Prime p₀= 2991718565168518253 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 58 6 6 80 58 2 22 2 58 80 6 6 58 26 (?)
a_n: 0 26 84 90 96 176 234 236 258 260 318 398 404 410 468 494
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: 494
Found by: Roadranner
db: batch=82, k=16, 26 58 6 6 80 58 2 22

SPT(16)	2991716141528349919	0 90 118 168 210 214 232 244 258 270 288 292 334 384 412 502	-2423640168334
STPT(10)	2991716323162757537	0 2 12 14 42 44 72 74 84 86	-2242005760716
SPT(16)	2991716998650637687	0 22 40 52 94 112 154 156 160 162 204 222 264 276 294 316	-1566517880566
STPT(10)	2991717164078661281	0 2 6 8 48 50 90 92 96 98	-1401089856972
TPT(14)	2991717895745719031	0 2 78 80 90 92 180 182 210 212 216 218 258 260	-669422799222
SPT(16)	2991718361966159107	0 10 46 66 84 144 156 216 280 340 352 412 430 450 486 496	-203202359146
STPT(10)	2991718802615845739	0 2 48 50 90 92 132 134 180 182	237447327486
STPT(10)	2991718897323975317	0 2 42 44 72 74 102 104 144 146	332155457064
STPT(10)	2991719355357614051	0 2 30 32 78 80 126 128 156 158	790189095798
SPT(16)	2991719385565375849	0 30 48 52 70 72 90 94 108 112 130 132 150 154 172 202	820396857596
TPT(14)	2991719893948415351	0 2 36 38 96 98 126 128 150 152 198 200 210 212	1328779897098