Prime p₀= 1411734574022269499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Theadalus
db: batch=78, k=10, 2 28 2 28 2

SPT(16)	1411733137044302119	0 22 42 48 60 78 112 130 192 210 244 262 274 280 300 322	-1436977967380
SPT(16)	1411733179639563719	0 12 44 50 54 72 78 134 228 284 290 308 312 318 350 362	-1394382705780
SPT(16)	1411733884883349893	0 26 54 78 126 258 284 320 384 420 446 578 626 650 678 704	-689138919606
STPT(10)	1411733977058719121	0 2 96 98 108 110 120 122 216 218	-596963550378
STPT(10)	1411734211206977639	0 2 18 20 60 62 102 104 120 122	-362815291860
STPT(10)	1411734231824622911	0 2 6 8 18 20 30 32 36 38	-342197646588
STPT(10)	1411734757299946097	0 2 42 44 72 74 102 104 144 146	183277676598
TPT(14)	1411734912016616309	0 2 78 80 180 182 192 194 330 332 390 392 402 404	337994346810
TPT(14)	1411735076702187749	0 2 30 32 42 44 72 74 78 80 108 110 180 182	502679918250
STPT(10)	1411735101871817417	0 2 60 62 102 104 144 146 204 206	527849547918
SPT(16)	1411735317762117301	0 66 72 78 156 196 210 228 280 298 312 352 430 436 442 508	743739847802