Prime p₀= 2279904438568269827 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2279903000838299399	0 2 132 134 162 164 168 170 222 224 378 380 390 392	-1437729970428
STPT(10)	2279903018397194159	0 2 12 14 30 32 48 50 60 62	-1420171075668
SPT(16)	2279903502539368081	0 36 126 148 180 258 330 336 340 346 418 496 528 550 640 676	-936028901746
SPT(16)	2279903776578066857	0 12 14 26 44 56 80 92 114 126 150 162 180 192 194 206	-661990202970
SPT(16)	2279903847659722069	0 48 58 114 120 142 154 168 184 198 210 232 238 294 304 352	-590908547758
SPT(16)	2279903904712806259	0 4 12 52 54 70 108 118 144 154 192 208 210 250 258 262	-533855463568
SPT(16)	2279905007514887447	0 36 44 60 80 84 90 92 114 116 122 126 146 162 170 206	568946617620
STPT(10)	2279905163366447777	0 2 30 32 42 44 54 56 84 86	724798177950
SPT(16)	2279905785866761891	0 10 16 18 112 178 196 222 256 282 300 366 460 462 468 478	1347298492064
STPT(10)	2279906071845371927	0 2 42 44 72 74 102 104 144 146	1633277102100
SPT(16)	2279906581612486643	0 18 36 84 108 110 134 138 146 150 174 176 200 248 266 284	2143044216816