Prime p₀= 2309259352664610077 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2309258190217819847	0 2 30 32 42 44 54 56 84 86	-1162446790230
TPT(14)	2309258196174412757	0 2 30 32 42 44 150 152 162 164 180 182 264 266	-1156490197320
STPT(10)	2309258422998475979	0 2 18 20 30 32 42 44 60 62	-929666134098
SPT(16)	2309258563079887927	0 16 70 72 82 114 124 132 154 162 172 204 214 216 270 286	-789584722150
STPT(10)	2309259237772676051	0 2 30 32 78 80 126 128 156 158	-114891934026
STPT(10)	2309259341948067137	0 2 30 32 72 74 114 116 144 146	-10716542940
STPT(12)	2309259366323346089	0 2 30 32 72 74 90 92 132 134 162 164	13658736012
SPT(16)	2309259429254448823	0 64 96 106 154 196 208 220 234 246 258 300 348 358 390 454	76589838746
SPT(16)	2309260005414097829	0 14 80 114 132 134 140 158 174 192 198 200 218 252 318 332	652749487752
TPT(14)	2309260643377635551	0 2 6 8 30 32 90 92 258 260 300 302 468 470	1290713025474
SPT(16)	2309260722852719743	0 6 16 30 66 106 148 216 220 288 330 370 406 420 430 436	1370188109666