Prime p₀= 3031667552123724119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	3031665932072903617	0 4 6 42 60 90 100 130 156 186 196 226 244 280 282 286	-1620050820502
SPT(16)	3031666179190345933	0 46 108 124 186 196 210 238 246 274 288 298 360 376 438 484	-1372933378186
SPT(16)	3031666909679535437	0 32 44 50 56 72 84 156 170 242 254 270 276 282 294 326	-642444188682
STPT(10)	3031667036569140659	0 2 18 20 30 32 42 44 60 62	-515554583460
STPT(10)	3031667187480654509	0 2 42 44 90 92 138 140 180 182	-364643069610
STPT(10)	3031667467434714047	0 2 30 32 60 62 90 92 120 122	-84689010072
TPT(14)	3031667792456043107	0 2 12 14 24 26 162 164 174 176 234 236 264 266	240332318988
STPT(10)	3031668071708714897	0 2 30 32 42 44 54 56 84 86	519584990778
SPT(16)	3031668171652236833	0 8 30 36 78 90 96 210 224 338 344 356 398 404 426 434	619528512714
STPT(10)	3031668573695136671	0 2 6 8 18 20 30 32 36 38	1021571412552
SPT(16)	3031668779278900507	0 4 6 24 40 52 60 66 70 76 84 96 112 130 132 136	1227155176388