Prime p₀= 2335457108459674877 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=81, k=10, 2 10 2 28 2

SPT(16)	2335456247110545421	0 22 36 70 78 118 126 192 256 322 330 370 378 412 426 448	-861349129456
SPT(16)	2335456555361191247	0 12 20 24 56 90 102 126 170 194 206 240 272 276 284 296	-553098483630
STPT(10)	2335456644308904119	0 2 48 50 90 92 132 134 180 182	-464150770758
SPT(16)	2335456648480618951	0 12 16 18 22 78 126 168 250 292 340 396 400 402 406 418	-459979055926
TPT(14)	2335456715915147441	0 2 66 68 156 158 180 182 210 212 246 248 288 290	-392544527436
SPT(16)	2335456846152005969	0 18 38 110 122 144 200 284 288 372 428 450 462 534 554 572	-262307668908
SPT(16)	2335457187126960319	0 30 40 42 52 54 78 114 118 154 178 180 190 192 202 232	78667285442
SPT(16)	2335457625361232143	0 16 18 24 46 58 148 150 154 156 246 258 280 286 288 304	516901557266
SPT(16)	2335458184660632191	0 2 26 98 116 122 132 138 200 206 216 222 240 312 336 338	1076200957314
SPT(16)	2335458548858576567	0 12 56 104 126 150 174 180 236 242 266 290 312 360 404 416	1440398901690
SPT(16)	2335458563470374431	0 12 36 42 66 78 96 108 110 122 140 152 176 182 206 218	1455010699554