Prime p₀= 2234504003107424999 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2234502338951340811	0 66 126 196 198 238 240 280 288 328 330 370 372 442 502 568	-1664156084188
TPT(14)	2234502464619238727	0 2 12 14 42 44 114 116 132 134 222 224 240 242	-1538488186272
SPT(16)	2234502477726249173	0 36 50 66 80 84 104 176 204 276 296 300 314 330 344 380	-1525381175826
STPT(10)	2234503169448991547	0 2 30 32 42 44 54 56 84 86	-833658433452
STPT(10)	2234503251697383167	0 2 54 56 72 74 90 92 144 146	-751410041832
STPT(10)	2234503556954034809	0 2 42 44 60 62 78 80 120 122	-446153390190
STPT(10)	2234504143629219389	0 2 48 50 90 92 132 134 180 182	140521794390
SPT(16)	2234504156133252781	0 72 78 82 166 270 292 310 318 336 358 462 546 550 556 628	153025827782
STPT(10)	2234504339299574939	0 2 42 44 60 62 78 80 120 122	336192149940
SPT(16)	2234504661552328339	0 18 82 102 124 132 142 144 208 210 220 228 250 270 334 352	658444903340
SPT(16)	2234504779997287877	0 24 50 92 122 144 156 162 164 170 182 204 234 276 302 326	776889862878