Prime p₀= 1266485215832160347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Megacruncher
db: batch=77, k=10, 2 70 2 28 2

SPT(16)	1266483476161115263	0 16 60 126 156 168 204 210 304 310 346 358 388 454 498 514	-1739671045084
TPT(14)	1266483757312277597	0 2 42 44 144 146 174 176 240 242 324 326 330 332	-1458519882750
SPT(16)	1266484120146011927	0 14 24 44 96 156 200 234 242 276 320 380 432 452 462 476	-1095686148420
STPT(10)	1266484721828815631	0 2 6 8 18 20 30 32 36 38	-494003344716
SPT(16)	1266484814608649023	0 10 16 36 70 76 100 114 160 174 198 204 238 258 264 274	-401223511324
SPT(16)	1266484931975782447	0 12 22 34 40 60 82 84 172 174 196 216 222 234 244 256	-283856377900
STPT(10)	1266485369759683811	0 2 36 38 108 110 180 182 216 218	153927523464
SPT(16)	1266485441829557797	0 40 42 70 82 124 150 162 184 196 222 264 276 304 306 346	225997397450
SPT(16)	1266485503334678489	0 18 48 62 80 98 104 128 144 168 174 192 210 224 254 272	287502518142
SPT(16)	1266485777101009789	0 30 34 42 48 64 102 112 120 130 168 184 190 198 202 232	561268849442
SPT(16)	1266485815621244137	0 22 52 84 112 166 210 222 304 316 360 414 442 474 504 526	599789083790