Prime p₀= 2352307244522799017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: MarkRBright
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2352305913679840169	0 2 18 20 30 32 42 44 60 62	-1330842958848
STPT(10)	2352306182053851761	0 2 48 50 168 170 288 290 336 338	-1062468947256
SPT(16)	2352306197035092059	0 14 20 24 42 72 84 102 152 170 182 212 230 234 240 254	-1047487706958
STPT(10)	2352306475700702579	0 2 42 44 60 62 78 80 120 122	-768822096438
STPT(10)	2352306558497716517	0 2 54 56 72 74 90 92 144 146	-686025082500
SPT(16)	2352306652658568439	0 22 42 120 138 144 220 228 274 282 358 364 382 460 480 502	-591864230578
SPT(16)	2352307633180306247	0 14 24 90 96 116 140 182 234 276 300 320 326 392 402 416	388657507230
STPT(10)	2352307710628970747	0 2 42 44 72 74 102 104 144 146	466106171730
SPT(16)	2352308096932802093	0 26 38 56 98 126 180 186 200 206 260 288 330 348 360 386	852410003076
SPT(16)	2352308123198919007	0 40 66 72 84 90 114 184 192 262 286 292 304 310 336 376	878676119990
SPT(16)	2352308626527355123	0 4 40 60 70 88 108 118 180 190 210 228 238 258 294 298	1382004556106