Prime p₀= 2991012632630026211 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 124 6 42 2 30 28 38 28 30 2 42 6 124 8 (?)
a_n: 0 8 132 138 180 182 212 240 278 306 336 338 380 386 510 518
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: 518
Found by: Coleslaw
db: batch=82, k=16, 8 124 6 42 2 30 28 38

SPT(16)	2991011200517894639	0 30 42 72 108 144 170 182 210 222 248 284 320 350 362 392	-1432112131572
SPT(16)	2991011587565856773	0 8 36 78 98 140 146 168 206 228 234 276 296 338 366 374	-1045064169438
SPT(16)	2991011924696110687	0 16 64 106 172 184 186 192 274 280 282 294 360 402 450 466	-707933915524
SPT(16)	2991012238243153213	0 48 66 124 148 160 178 196 228 246 264 276 300 358 376 424	-394386872998
SPT(16)	2991012418043872751	0 2 12 26 116 126 138 170 228 260 272 282 372 386 396 398	-214586153460
STPT(10)	2991012458787169181	0 2 30 32 78 80 126 128 156 158	-173842857030
SPT(16)	2991012782248398829	0 60 102 150 162 172 190 232 252 294 312 322 334 382 424 484	149618372618
SPT(16)	2991012837644604257	0 30 42 62 86 90 116 174 182 240 266 270 294 314 326 356	205014578046
STPT(10)	2991012904835456321	0 2 6 8 18 20 30 32 36 38	272205430110
SPT(16)	2991013046674407023	0 54 78 80 86 96 98 156 218 276 278 288 294 296 320 374	414044380812
STPT(10)	2991013260150225839	0 2 12 14 90 92 168 170 180 182	627520199628