Prime p₀= 2223859012264243199 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: Penguin
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2223858159908303747	0 2 90 92 174 176 210 212 294 296 384 386	-852355939452
SPT(16)	2223858589533955189	0 22 34 48 54 70 88 90 112 114 132 148 154 168 180 202	-422730288010
SPT(16)	2223858610740221509	0 22 52 70 88 120 138 174 208 244 262 294 312 330 360 382	-401524021690
STPT(10)	2223858853798751327	0 2 12 14 72 74 132 134 144 146	-158465491872
TPT(14)	2223858985967293601	0 2 36 38 66 68 90 92 108 110 120 122 168 170	-26296949598
SPT(16)	2223859010068603421	0 20 26 62 68 86 96 98 120 122 132 150 156 192 198 218	-2195639778
SPT(16)	2223859082484655741	0 28 48 100 166 178 222 228 250 256 300 312 378 430 450 478	70220412542
TPT(14)	2223859157125017611	0 2 36 38 66 68 210 212 330 332 348 350 420 422	144860774412
STPT(10)	2223859252403301827	0 2 12 14 42 44 72 74 84 86	240139058628
STPT(10)	2223859332907205417	0 2 54 56 72 74 90 92 144 146	320642962218
SPT(16)	2223859395478951079	0 20 38 48 78 80 90 128 132 170 180 182 212 222 240 260	383214707880