Prime p₀= 2306601307646655659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Orange Kid
db: batch=81, k=10, 2 46 2 40 2

STPT(10)	2306599268707445207	0 2 60 62 72 74 84 86 144 146	-2038939210452
SPT(16)	2306599678630235327	0 36 50 86 122 206 210 212 300 302 306 390 426 462 476 512	-1629016420332
STPT(10)	2306600000324602847	0 2 42 44 72 74 102 104 144 146	-1307322052812
SPT(16)	2306600160419114939	0 2 30 54 114 152 164 290 324 450 462 500 560 584 612 614	-1147227540720
STPT(10)	2306600562991969817	0 2 42 44 72 74 102 104 144 146	-744654685842
SPT(16)	2306601114533488853	0 44 48 84 126 134 168 216 218 266 300 308 350 386 390 434	-193113166806
STPT(10)	2306601325018277429	0 2 18 20 30 32 42 44 60 62	17371621770
SPT(16)	2306601337069180363	0 4 6 18 28 46 60 114 190 244 258 276 286 298 300 304	29422524704
TPT(14)	2306601679797635027	0 2 150 152 210 212 300 302 342 344 372 374 390 392	372150979368
SPT(16)	2306601819627289259	0 50 62 78 80 108 132 164 228 260 284 312 314 330 342 392	511980633600
SPT(16)	2306601826596276107	0 12 54 72 84 122 170 182 204 216 264 302 314 332 374 386	518949620448