Prime p₀= 2396154909067215389 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: Dirk Broer
db: batch=81, k=10, 2 28 2 28 2

TPT(14)	2396151305080334447	0 2 60 62 114 116 120 122 270 272 282 284 312 314	-3603986880942
SPT(16)	2396152195588300349	0 30 32 50 74 84 110 114 140 144 170 180 204 222 224 254	-2713478915040
SPT(16)	2396152261464597893	0 6 24 74 90 116 126 180 230 284 294 320 336 386 404 410	-2647602617496
SPT(16)	2396152372650664721	0 30 32 56 60 80 120 156 176 212 252 272 276 300 302 332	-2536416550668
STPT(10)	2396153340332715239	0 2 12 14 90 92 168 170 180 182	-1568734500150
SPT(16)	2396153405046512939	0 20 24 62 90 92 132 144 188 200 240 242 270 308 312 332	-1504020702450
STPT(10)	2396154941784080201	0 2 6 8 48 50 90 92 96 98	32716864812
TPT(14)	2396155313291484707	0 2 132 134 180 182 252 254 264 266 282 284 294 296	404224269318
STPT(10)	2396155321472140757	0 2 42 44 72 74 102 104 144 146	412404925368
TPT(14)	2396155685547958811	0 2 36 38 78 80 96 98 120 122 156 158 180 182	776480743422
SPT(16)	2396155698025214207	0 54 84 102 144 146 180 216 320 356 390 392 434 452 482 536	788957998818