Prime p₀= 1267868266224764777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1267866028645873409	0 44 54 62 84 200 230 252 272 294 324 440 462 470 480 524	-2237578891368
SPT(16)	1267866346943656489	0 18 40 60 64 82 130 142 150 162 210 228 232 252 274 292	-1919281108288
STPT(10)	1267866454471047791	0 2 6 8 48 50 90 92 96 98	-1811753716986
SPT(16)	1267867178847848087	0 26 32 80 92 116 126 150 152 176 186 210 222 270 276 302	-1087376916690
STPT(10)	1267867865322208697	0 2 30 32 42 44 54 56 84 86	-400902556080
SPT(16)	1267867897574600411	0 18 38 42 50 66 92 102 116 126 152 168 176 180 200 218	-368650164366
SPT(16)	1267868418106461623	0 14 26 30 50 56 86 126 188 228 258 264 284 288 300 314	151881696846
STPT(10)	1267868504825423771	0 2 6 8 48 50 90 92 96 98	238600658994
STPT(10)	1267869227165459297	0 2 30 32 42 44 54 56 84 86	960940694520
SPT(16)	1267869369211575191	0 20 42 66 78 98 132 140 168 176 210 230 242 266 288 308	1102986810414
STPT(10)	1267869434650425701	0 2 6 8 48 50 90 92 96 98	1168425660924