Prime p₀= 1268555195466897599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: Megacruncher
db: batch=77, k=10, 2 46 2 10 2

SPT(16)	1268553544891633801	0 6 12 36 66 72 126 162 210 246 300 306 336 360 366 372	-1650575263798
STPT(10)	1268553836762557361	0 2 30 32 78 80 126 128 156 158	-1358704340238
STPT(10)	1268554151105360891	0 2 30 32 78 80 126 128 156 158	-1044361536708
SPT(16)	1268554305449346973	0 4 18 24 36 46 70 126 148 204 228 238 250 256 270 274	-890017550626
SPT(16)	1268554332072142943	0 6 20 60 78 80 90 168 266 344 354 356 374 414 428 434	-863394754656
STPT(10)	1268554387777441949	0 2 30 32 60 62 90 92 120 122	-807689455650
STPT(10)	1268555234884598987	0 2 42 44 72 74 102 104 144 146	39417701388
STPT(12)	1268555260552443077	0 2 12 14 42 44 60 62 90 92 102 104	65085545478
STPT(12)	1268555274713135819	0 2 12 14 18 20 42 44 48 50 60 62	79246238220
SPT(16)	1268555352970701401	0 2 30 36 48 50 56 60 158 162 168 170 182 188 216 218	157503803802
STPT(10)	1268555367443732897	0 2 12 14 42 44 72 74 84 86	171976835298