Prime p₀= 2066106989194873991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Cruncher Pete
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2066105871050289073	0 40 46 64 78 124 126 130 144 148 150 196 210 228 234 274	-1118144584918
SPT(16)	2066105980252670747	0 6 14 20 32 42 66 86 210 230 254 264 276 282 290 296	-1008942203244
SPT(16)	2066106415211762783	0 6 54 80 156 170 270 276 314 320 420 434 510 536 584 590	-573983111208
SPT(16)	2066106455754187969	0 12 28 30 40 58 72 84 148 160 174 192 202 204 220 232	-533440686022
TPT(14)	2066106595197531581	0 2 6 8 60 62 120 122 186 188 270 272 300 302	-393997342410
SPT(16)	2066106788504629967	0 12 50 56 66 74 96 140 186 230 252 260 270 276 314 326	-200690244024
STPT(12)	2066107149951561917	0 2 12 14 30 32 114 116 132 134 144 146	160756687926
STPT(10)	2066107195384422959	0 2 18 20 30 32 42 44 60 62	206189548968
TPT(14)	2066107387501605857	0 2 12 14 24 26 120 122 132 134 204 206 210 212	398306731866
SPT(16)	2066107600901962091	0 38 42 60 66 90 96 108 140 152 158 182 188 206 210 248	611707088100
SPT(16)	2066107646211103321	0 16 22 112 120 138 208 222 256 270 340 358 366 456 462 478	657016229330