Prime p₀= 2276831694407310749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2276829409257401437	0 6 54 102 112 124 132 186 190 244 252 264 274 322 370 376	-2285149909312
SPT(16)	2276829946833323507	0 54 114 126 156 194 236 246 314 324 366 404 434 446 506 560	-1747573987242
SPT(16)	2276830246999455163	0 16 30 70 90 108 118 120 184 186 196 214 234 274 288 304	-1447407855586
SPT(16)	2276830541642196413	0 14 18 26 48 54 56 86 168 198 200 206 228 236 240 254	-1152765114336
STPT(10)	2276830761386441717	0 2 30 32 72 74 114 116 144 146	-933020869032
SPT(16)	2276831013299318863	0 34 46 48 70 126 148 150 154 156 178 234 256 258 270 304	-681107991886
SPT(16)	2276832010449959803	0 10 24 46 60 78 106 166 168 228 256 274 288 310 324 334	316042649054
STPT(10)	2276832331354281047	0 2 12 14 42 44 72 74 84 86	636946970298
SPT(16)	2276833012022127901	0 18 60 66 90 118 138 192 196 250 270 298 322 328 370 388	1317614817152
STPT(10)	2276833147266222827	0 2 84 86 102 104 120 122 204 206	1452858912078
SPT(13)	2276833326315947647	0 6 24 36 66 96 150 204 234 264 276 294 300	1631908636898