Prime p₀= 2164234621491796697 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2164233602059342867	0 4 30 54 130 154 172 216 250 294 312 336 412 436 462 466	-1019432453830
SPT(16)	2164233650103474361	0 10 12 16 88 102 126 132 136 142 166 180 252 256 258 268	-971388322336
SPT(16)	2164233812093908697	0 20 32 36 74 102 120 126 140 146 164 192 230 234 246 266	-809397888000
SPT(16)	2164234119651932131	0 18 40 42 72 90 100 112 156 168 178 196 226 228 250 268	-501839864566
SPT(18)	2164234239097469027	0 2 32 56 146 164 206 210 242 264 296 300 342 360 450 474 504 506	-382394327670
SPT(16)	2164234519692423229	0 22 88 112 132 148 162 210 262 310 324 340 360 384 450 472	-101799373468
STPT(10)	2164235222596010519	0 2 48 50 90 92 132 134 180 182	601104213822
STPT(10)	2164235332736626451	0 2 30 32 78 80 126 128 156 158	711244829754
STPT(10)	2164235625107205701	0 2 6 8 18 20 30 32 36 38	1003615409004
SPT(16)	2164235845778539129	0 4 84 88 108 132 160 234 238 312 340 364 384 388 468 472	1224286742432
STPT(10)	2164235885700806387	0 2 30 32 42 44 54 56 84 86	1264209009690