Prime p₀= 2392077927146850539 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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2392075345125883187	0 24 50 56 116 134 162 206 330 374 402 420 480 486 512 536	-2582020967352
SPT(16)	2392075391790406921	0 40 42 60 78 88 132 156 172 196 240 250 268 286 288 328	-2535356443618
SPT(16)	2392076006041498939	0 24 94 112 162 184 204 222 250 268 288 310 360 378 448 472	-1921105351600
SPT(16)	2392076211117456791	0 6 92 120 126 152 218 236 252 270 336 362 368 396 482 488	-1716029393748
STPT(10)	2392077368352119867	0 2 12 14 42 44 72 74 84 86	-558794730672
SPT(16)	2392077456706335367	0 12 30 76 82 100 124 126 160 162 186 204 210 256 274 286	-470440515172
STPT(10)	2392078021755315347	0 2 24 26 42 44 60 62 84 86	94608464808
SPT(16)	2392078230276249689	0 18 98 234 258 270 290 300 308 318 338 350 374 510 590 608	303129399150
SPT(16)	2392078375158311603	0 30 78 110 114 144 150 168 236 254 260 290 294 326 374 404	448011461064
SPT(16)	2392078566646318607	0 32 54 80 234 246 260 290 366 396 410 422 576 602 624 656	639499468068
STPT(10)	2392079047132377101	0 2 36 38 78 80 120 122 156 158	1119985526562