Prime p₀= 2688763458799724429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2688762882881867867	0 14 20 36 80 84 140 152 174 186 242 246 290 306 312 326	-575917856562
STPT(10)	2688762907736387147	0 2 12 14 42 44 72 74 84 86	-551063337282
STPT(10)	2688763035343403867	0 2 30 32 60 62 90 92 120 122	-423456320562
STPT(10)	2688763212599212319	0 2 18 20 30 32 42 44 60 62	-246200512110
TPT(14)	2688763377692730671	0 2 60 62 126 128 156 158 180 182 186 188 216 218	-81106993758
SPT(16)	2688763380418259611	0 22 42 60 78 88 112 132 166 186 210 220 238 256 276 298	-78381464818
STPT(10)	2688763588396353497	0 2 12 14 42 44 72 74 84 86	129596629068
SPT(16)	2688764364977310647	0 14 42 80 110 132 152 164 210 222 242 264 294 332 360 374	906177586218
STPT(10)	2688764553339552011	0 2 36 38 78 80 120 122 156 158	1094539827582
SPT(16)	2688764640333409843	0 10 34 46 60 78 84 108 196 220 226 244 258 270 294 304	1181533685414
STPT(10)	2688764680348153607	0 2 30 32 72 74 114 116 144 146	1221548429178