Prime p₀= 2081093834250978257 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=80, k=10, 2 10 2 28 2

SPT(16)	2081093057536529261	0 36 38 56 66 68 92 120 158 186 210 212 222 240 242 278	-776714448996
TPT(14)	2081093146284749027	0 2 72 74 252 254 294 296 300 302 312 314 354 356	-687966229230
SPT(16)	2081093196086582603	0 56 66 104 120 134 150 164 300 314 330 344 360 398 408 464	-638164395654
STPT(10)	2081093201038481417	0 2 60 62 72 74 84 86 144 146	-633212496840
STPT(10)	2081093241137191667	0 2 12 14 42 44 72 74 84 86	-593113786590
STPT(10)	2081093778107477447	0 2 30 32 42 44 54 56 84 86	-56143500810
SPT(16)	2081093871713528443	0 6 30 70 76 78 90 106 198 214 226 228 234 274 298 304	37462550186
SPT(16)	2081094142689121741	0 60 88 90 100 112 126 132 166 172 186 198 208 210 238 298	308438143484
STPT(10)	2081094712195979507	0 2 30 32 42 44 54 56 84 86	877945001250
STPT(10)	2081095142821876169	0 2 18 20 30 32 42 44 60 62	1308570897912
TPT(14)	2081095153072329059	0 2 78 80 108 110 162 164 198 200 210 212 222 224	1318821350802