Prime p₀= 2581416922609072967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2581416419626813141	0 28 42 46 58 60 66 132 196 262 268 270 282 286 300 328	-502982259826
STPT(10)	2581416719186726117	0 2 54 56 72 74 90 92 144 146	-203422346850
SPT(16)	2581416724258883447	0 6 60 66 72 110 114 140 156 182 186 224 230 236 290 296	-198350189520
STPT(10)	2581416797071386059	0 2 42 44 60 62 78 80 120 122	-125537686908
SPT(16)	2581416833616379219	0 10 42 52 54 70 84 118 174 208 222 238 240 250 282 292	-88992693748
TPT(14)	2581416847108784747	0 2 12 14 54 56 72 74 150 152 192 194 234 236	-75500288220
STPT(10)	2581416991036271747	0 2 60 62 72 74 84 86 144 146	68427198780
STPT(10)	2581417025007242087	0 2 30 32 42 44 54 56 84 86	102398169120
SPT(16)	2581417402035338791	0 12 28 30 66 70 72 82 96 106 108 112 148 150 166 178	479426265824
SPT(16)	2581417501639483873	0 34 36 66 78 84 114 126 178 190 220 226 238 268 270 304	579030410906
STPT(10)	2581417545197566919	0 2 18 20 30 32 42 44 60 62	622588493952