Prime p₀= 1081119750141117959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1081118638098088061	0 2 36 38 168 170 300 302 336 338	-1112043029898
SPT(18)	1081118825022241121	0 78 86 102 116 128 158 168 188 210 230 240 270 282 296 312 320 398	-925118876838
SPT(16)	1081118991051385147	0 42 54 96 114 144 180 196 210 226 262 292 310 352 364 406	-759089732812
SPT(16)	1081119132418261721	0 26 30 42 56 72 120 122 156 158 206 222 236 248 252 278	-617722856238
SPT(16)	1081119638225547859	0 60 82 94 102 112 130 144 148 162 180 190 198 210 232 292	-111915570100
STPT(10)	1081119703913944109	0 2 18 20 30 32 42 44 60 62	-46227173850
SPT(16)	1081120043308524599	0 42 108 132 162 168 188 210 212 234 254 260 290 314 380 422	293167406640
SPT(16)	1081120458587945071	0 46 48 90 102 148 168 190 258 280 300 346 358 400 402 448	708446827112
SPT(16)	1081120554570309343	0 76 88 90 156 210 228 270 364 406 424 478 544 546 558 634	804429191384
STPT(10)	1081120673253783917	0 2 30 32 42 44 54 56 84 86	923112665958
SPT(16)	1081120733881446821	0 12 26 50 56 80 122 132 140 150 192 216 222 246 260 272	983740328862