Prime p₀= 2082430291112786939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=80, k=10, 2 16 2 40 2

STPT(12)	2082427394051765729	0 2 42 44 132 134 168 170 258 260 300 302	-2897061021210
SPT(16)	2082427444892457569	0 14 20 78 98 102 144 162 200 218 260 264 284 342 348 362	-2846220329370
SPT(16)	2082427521134775091	0 6 18 72 82 90 112 138 160 186 208 216 226 280 292 298	-2769978011848
SPT(16)	2082427568669483767	0 46 96 102 130 160 166 186 310 330 336 366 394 400 450 496	-2722443303172
SPT(16)	2082428627528917471	0 72 88 100 102 112 136 160 168 192 216 226 228 240 256 328	-1663583869468
STPT(10)	2082429847054016807	0 2 12 14 42 44 72 74 84 86	-444058770132
STPT(12)	2082430405456899317	0 2 24 26 54 56 150 152 180 182 204 206	114344112378
STPT(10)	2082430556153649419	0 2 48 50 90 92 132 134 180 182	265040862480
SPT(16)	2082430690618321123	0 34 36 66 70 84 94 108 136 150 160 174 178 208 210 244	399505534184
STPT(10)	2082430826546276147	0 2 30 32 42 44 54 56 84 86	535433489208
SPT(16)	2082430968572649881	0 8 26 72 120 138 170 176 222 228 260 278 326 372 390 398	677459862942