Prime p₀= 2159905062866188997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Landjunge
db: batch=81, k=10, 2 70 2 28 2

SPT(16)	2159903895882558179	0 12 14 30 32 44 54 102 110 158 168 180 182 198 200 212	-1166983630818
STPT(10)	2159904114240038207	0 2 30 32 42 44 54 56 84 86	-948626150790
SPT(16)	2159904119874504559	0 10 28 40 48 90 108 124 168 184 202 244 252 264 282 292	-942991684438
STPT(10)	2159904395203492547	0 2 30 32 42 44 54 56 84 86	-667662696450
SPT(16)	2159904574065185239	0 28 42 48 54 90 108 160 222 274 292 328 334 340 354 382	-488801003758
STPT(10)	2159904693355702079	0 2 48 50 90 92 132 134 180 182	-369510486918
SPT(16)	2159905257173864887	0 16 22 36 60 100 102 112 144 154 156 196 220 234 240 256	194307675890
SPT(16)	2159905484617054829	0 12 18 32 42 48 68 78 152 162 182 188 198 212 218 230	421750865832
STPT(10)	2159905549797070637	0 2 42 44 72 74 102 104 144 146	486930881640
STPT(10)	2159905687507788851	0 2 36 38 78 80 120 122 156 158	624641599854
SPT(16)	2159905798595982599	0 8 12 32 54 60 110 140 162 192 242 248 270 290 294 302	735729793602