Prime p₀= 2770506113193403769 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: Time_Traveler
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2770505137787278121	0 20 26 60 72 80 90 116 222 248 258 266 278 312 318 338	-975406125648
STPT(10)	2770505140610585471	0 2 36 38 78 80 120 122 156 158	-972582818298
SPT(16)	2770505225184479467	0 10 24 34 84 90 124 126 220 222 256 262 312 322 336 346	-888008924302
SPT(16)	2770505678408298293	0 56 60 84 86 110 116 126 128 138 144 168 170 194 198 254	-434785105476
SPT(16)	2770506045214769273	0 18 24 26 80 84 90 104 150 164 170 174 228 230 236 254	-67978634496
STPT(10)	2770506079250676761	0 2 36 38 78 80 120 122 156 158	-33942727008
SPT(16)	2770506366198756617	0 20 24 50 66 90 110 144 182 216 236 260 276 302 306 326	253005352848
STPT(10)	2770506721072064657	0 2 12 14 72 74 132 134 144 146	607878660888
STPT(10)	2770506768469841837	0 2 42 44 72 74 102 104 144 146	655276438068
STPT(12)	2770506958423305779	0 2 18 20 30 32 138 140 150 152 168 170	845229902010
TPT(14)	2770507006166061989	0 2 30 32 168 170 180 182 222 224 318 320 360 362	892972658220