Prime p₀= 2777643573504610631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2777642062396928371	0 40 46 88 100 108 166 196 210 240 298 306 318 360 366 406	-1511107682260
SPT(16)	2777642098739630911	0 28 78 90 120 130 148 162 178 192 210 220 250 262 312 340	-1474764979720
SPT(16)	2777642104683128671	0 30 72 106 108 118 130 172 216 258 270 280 282 316 358 388	-1468821481960
TPT(14)	2777642859334818017	0 2 54 56 72 74 90 92 180 182 240 242 252 254	-714169792614
SPT(16)	2777643281409565199	0 8 42 102 108 138 270 284 288 302 434 464 470 530 564 572	-292095045432
SPT(16)	2777643365669744597	0 12 32 60 90 104 116 176 180 240 252 266 296 324 344 356	-207834866034
SPT(16)	2777643838178923027	0 4 30 34 172 174 186 196 240 250 262 264 402 406 432 436	264674312396
STPT(10)	2777644555605808841	0 2 36 38 138 140 240 242 276 278	982101198210
STPT(10)	2777644640833741697	0 2 12 14 72 74 132 134 144 146	1067329131066
SPT(16)	2777645053919899607	0 12 26 72 110 140 152 162 224 234 246 276 314 360 374 386	1480415288976
SPT(16)	2777645372151374939	0 32 74 78 110 120 128 210 212 294 302 312 344 348 390 422	1798646764308