Prime p₀= 1270347271748766257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1270346463445960387	0 34 60 64 70 112 120 126 160 166 174 216 222 226 252 286	-808302805870
SPT(16)	1270346507676170501	0 20 30 36 66 78 128 146 192 210 260 272 302 308 318 338	-764072595756
SPT(16)	1270346633955830489	0 2 18 42 78 84 90 104 198 212 218 224 260 284 300 302	-637792935768
SPT(16)	1270346937362162417	0 20 42 66 86 92 146 200 216 270 324 330 350 374 396 416	-334386603840
SPT(16)	1270347061943577817	0 16 34 96 132 184 196 220 306 330 342 394 430 492 510 526	-209805188440
TPT(14)	1270347190782217739	0 2 48 50 72 74 78 80 102 104 330 332 378 380	-80966548518
SPT(16)	1270347402860783011	0 6 22 72 102 142 156 162 310 316 330 370 400 450 466 472	131112016754
SPT(16)	1270347548964502157	0 42 80 90 116 140 164 182 234 252 276 300 326 336 374 416	277215735900
STPT(10)	1270348250655062531	0 2 96 98 168 170 240 242 336 338	978906296274
STPT(10)	1270348275166610579	0 2 42 44 60 62 78 80 120 122	1003417844322
STPT(10)	1270348350449071457	0 2 54 56 132 134 210 212 264 266	1078700305200