Prime p₀= 2956935000315596147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2956934096574930089	0 2 48 50 78 80 120 122 252 254 258 260 270 272	-903740666058
SPT(16)	2956934257342064189	0 24 72 78 92 108 128 150 182 204 224 240 254 260 308 332	-742973531958
STPT(10)	2956934454674977487	0 2 12 14 42 44 72 74 84 86	-545640618660
STPT(10)	2956934548657112381	0 2 66 68 138 140 210 212 276 278	-451658483766
SPT(16)	2956934744641313321	0 18 26 32 72 152 186 198 200 212 246 326 366 372 380 398	-255674282826
TPT(14)	2956934796302948297	0 2 114 116 180 182 222 224 300 302 324 326 420 422	-204012647850
SPT(16)	2956935327453777149	0 44 50 72 104 120 140 152 162 174 194 210 242 264 270 314	327138181002
SPT(16)	2956935561755426243	0 6 18 24 56 90 114 156 158 200 224 258 290 296 308 314	561439830096
SPT(16)	2956935600481336883	0 26 36 48 66 78 84 90 224 230 236 248 266 278 288 314	600165740736
SPT(16)	2956935793808987131	0 12 18 100 120 126 166 186 292 312 352 358 378 460 466 478	793493390984
SPT(16)	2956936744467290209	0 42 52 130 132 172 214 234 280 300 342 382 384 462 472 514	1744151694062