Prime p₀= 2563359317889000947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2563357076359223633	0 24 30 38 56 86 98 114 140 156 168 198 216 224 230 254	-2241529777314
SPT(16)	2563357304183892103	0 6 18 76 160 180 196 208 216 228 244 264 348 406 418 424	-2013705108844
STPT(10)	2563357434129400169	0 2 48 50 60 62 72 74 120 122	-1883759600778
STPT(10)	2563357590863915969	0 2 12 14 30 32 48 50 60 62	-1727025084978
SPT(16)	2563358546837467129	0 28 48 70 72 100 160 190 252 282 342 370 372 394 414 442	-771051533818
SPT(16)	2563359071079823721	0 12 48 68 90 102 108 200 258 350 356 368 390 410 446 458	-246809177226
SPT(16)	2563360521500377969	0 24 42 52 132 168 208 234 238 264 304 340 420 430 448 472	1203611377022
STPT(10)	2563360618929620561	0 2 6 8 18 20 30 32 36 38	1301040619614
STPT(10)	2563360731257527049	0 2 30 32 60 62 90 92 120 122	1413368526102
SPT(16)	2563361122747189781	0 2 18 20 32 56 60 90 98 128 132 156 168 170 186 188	1804858188834
SPT(16)	2563361910007763869	0 28 34 64 72 78 82 142 180 240 244 250 258 288 294 322	2592118762922