Prime p₀= 2396246588605627139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Marcel-Berlin
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2396245106159830241	0 50 66 78 108 158 186 210 236 260 288 338 368 380 396 446	-1482445796898
STPT(10)	2396245146010381949	0 2 48 50 90 92 132 134 180 182	-1442595245190
STPT(10)	2396245200185878001	0 2 36 38 78 80 120 122 156 158	-1388419749138
SPT(16)	2396245771279168351	0 60 72 96 100 186 228 240 298 310 352 438 442 466 478 538	-817326458788
TPT(14)	2396246425977114881	0 2 18 20 78 80 156 158 216 218 288 290 330 332	-162628512258
STPT(10)	2396246545817950841	0 2 36 38 78 80 120 122 156 158	-42787676298
SPT(16)	2396247065352590819	0 18 54 108 120 200 224 234 278 288 312 392 404 458 494 512	476746963680
SPT(16)	2396247467252421751	0 90 100 126 150 180 216 250 462 496 532 562 586 612 622 712	878646794612
SPT(16)	2396247560207444497	0 10 24 72 114 124 130 154 180 204 210 220 262 310 324 334	971601817358
STPT(10)	2396247757095753107	0 2 30 32 42 44 54 56 84 86	1168490125968
SPT(16)	2396248036502541467	0 32 44 80 114 182 210 234 242 266 294 362 396 432 444 476	1447896914328