Prime p₀= 2079327246447206849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: retroactivemind
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2079325436955382643	0 18 48 96 110 164 174 186 188 200 210 264 278 326 356 374	-1809491824206
STPT(10)	2079325954068543137	0 2 12 14 42 44 72 74 84 86	-1292378663712
SPT(16)	2079326250369377707	0 12 22 40 42 66 120 124 132 136 190 214 216 234 244 256	-996077829142
SPT(16)	2079326421758927329	0 4 10 22 72 84 102 108 154 160 178 190 240 252 258 262	-824688279520
STPT(10)	2079326615108201321	0 2 30 32 78 80 126 128 156 158	-631339005528
SPT(16)	2079327134572211663	0 6 24 60 80 116 170 206 258 294 348 384 404 440 458 464	-111874995186
SPT(16)	2079327440114731127	0 14 32 54 66 96 140 164 312 336 380 410 422 444 462 476	193667524278
SPT(16)	2079327661719228301	0 12 30 96 112 118 156 198 220 262 300 306 322 388 406 418	415272021452
STPT(10)	2079327734566528289	0 2 18 20 30 32 42 44 60 62	488119321440
SPT(16)	2079327833772128059	0 24 102 138 162 178 180 204 238 262 264 280 304 340 418 442	587324921210
SPT(16)	2079327845807849999	0 74 84 104 174 222 302 312 350 360 440 488 558 578 588 662	599360643150