Prime p₀= 2257330165218549539 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: Euphoriabuzz
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2257328523365247797	0 12 26 84 126 132 152 266 300 414 434 440 482 540 554 566	-1641853301742
SPT(16)	2257328871023364991	0 10 52 102 132 166 178 180 208 210 222 256 286 336 378 388	-1294195184548
STPT(10)	2257328995576002251	0 2 36 38 78 80 120 122 156 158	-1169642547288
SPT(16)	2257329324569558441	0 12 20 26 90 108 210 236 252 278 380 398 462 468 476 488	-840648991098
SPT(16)	2257329513734120143	0 6 36 64 70 84 90 106 138 154 160 174 180 208 238 244	-651484429396
SPT(16)	2257329869139595667	0 26 62 72 110 152 170 222 260 312 330 372 410 420 456 482	-296078953872
STPT(10)	2257330353778707479	0 2 18 20 30 32 42 44 60 62	188560157940
STPT(10)	2257330523689075517	0 2 42 44 72 74 102 104 144 146	358470525978
SPT(16)	2257330643349156281	0 12 56 86 98 132 156 158 240 242 266 300 312 342 386 398	478130606742
SPT(16)	2257330909187373931	0 10 18 28 30 66 70 120 136 186 190 226 228 238 246 256	743968824392
STPT(10)	2257330935919812197	0 2 30 32 42 44 54 56 84 86	770701262658