Prime p₀= 2066107985898270047 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: Cruncher Pete
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2066106989194873991	0 2 36 38 78 80 120 122 156 158	-996703396056
STPT(12)	2066107149951561917	0 2 12 14 30 32 114 116 132 134 144 146	-835946708130
STPT(10)	2066107195384422959	0 2 18 20 30 32 42 44 60 62	-790513847088
TPT(14)	2066107387501605857	0 2 12 14 24 26 120 122 132 134 204 206 210 212	-598396664190
SPT(16)	2066107600901962091	0 38 42 60 66 90 96 108 140 152 158 182 188 206 210 248	-384996307956
SPT(16)	2066107646211103321	0 16 22 112 120 138 208 222 256 270 340 358 366 456 462 478	-339687166726
SPT(16)	2066108036056624597	0 16 46 76 120 154 156 160 186 190 192 226 270 300 330 346	50158354550
STPT(10)	2066108552185755359	0 2 42 44 60 62 78 80 120 122	566287485312
STPT(10)	2066108590733821367	0 2 30 32 42 44 54 56 84 86	604835551320
TPT(16)	2066109070355506817	0 2 42 44 54 56 60 62 90 92 114 116 174 176 252 254	1084457236770
TPT(14)	2066109106828133441	0 2 60 62 90 92 96 98 138 140 156 158 180 182	1120929863394