Prime p₀= 2081093241137191667 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)	2081092865148965441	0 36 42 50 56 98 102 138 140 176 180 222 228 236 242 278	-375988226226
STPT(10)	2081092888458662711	0 2 6 8 48 50 90 92 96 98	-352678528956
SPT(16)	2081093057536529261	0 36 38 56 66 68 92 120 158 186 210 212 222 240 242 278	-183600662406
TPT(14)	2081093146284749027	0 2 72 74 252 254 294 296 300 302 312 314 354 356	-94852442640
SPT(16)	2081093196086582603	0 56 66 104 120 134 150 164 300 314 330 344 360 398 408 464	-45050609064
STPT(10)	2081093201038481417	0 2 60 62 72 74 84 86 144 146	-40098710250
STPT(10)	2081093778107477447	0 2 30 32 42 44 54 56 84 86	536970285780
STPT(10)	2081093834250978257	0 2 12 14 42 44 72 74 84 86	593113786590
SPT(16)	2081093871713528443	0 6 30 70 76 78 90 106 198 214 226 228 234 274 298 304	630576336776
SPT(16)	2081094142689121741	0 60 88 90 100 112 126 132 166 172 186 198 208 210 238 298	901551930074
STPT(10)	2081094712195979507	0 2 30 32 42 44 54 56 84 86	1471058787840