Prime p₀= 2176321464124616267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2176318562497189199	0 24 38 48 62 104 140 144 188 192 228 270 284 294 308 332	-2901627427068
SPT(16)	2176318909275486289	0 54 88 108 118 124 174 234 238 298 348 354 364 384 418 472	-2554849129978
SPT(18)	2176319261281240069	0 22 30 42 54 112 178 190 222 250 282 294 360 418 430 442 450 472	-2202843376198
STPT(10)	2176319517399928697	0 2 24 26 42 44 60 62 84 86	-1946724687570
SPT(16)	2176320926810719529	0 8 18 32 42 102 110 170 192 252 260 320 330 344 354 362	-537313896738
TPT(14)	2176321332444289781	0 2 36 38 78 80 168 170 288 290 330 332 396 398	-131680326486
STPT(10)	2176321512384953069	0 2 42 44 90 92 138 140 180 182	48260336802
STPT(10)	2176321813454886917	0 2 30 32 42 44 54 56 84 86	349330270650
SPT(16)	2176321873586487127	0 34 40 46 112 154 160 180 196 216 222 264 330 336 342 376	409461870860
STPT(10)	2176322044267589717	0 2 30 32 72 74 114 116 144 146	580142973450
STPT(10)	2176322209347571247	0 2 30 32 42 44 54 56 84 86	745222954980