Prime p₀= 1245525291604876949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

STPT(10)	1245524677862746241	0 2 36 38 78 80 120 122 156 158	-613742130708
STPT(10)	1245524857798957037	0 2 30 32 42 44 54 56 84 86	-433805919912
SPT(16)	1245524954861590457	0 14 62 90 92 96 126 150 176 200 230 234 236 264 312 326	-336743286492
SPT(16)	1245525037816810787	0 110 126 156 170 210 236 290 420 474 500 540 554 584 600 710	-253788066162
STPT(10)	1245525192272420327	0 2 30 32 72 74 114 116 144 146	-99332456622
SPT(16)	1245525197733659663	0 8 18 20 30 56 66 78 86 98 108 134 144 146 156 164	-93871217286
SPT(16)	1245525528590095789	0 4 12 40 60 70 114 144 148 178 222 232 252 280 288 292	236985218840
SPT(16)	1245525549173365511	0 116 120 150 162 210 252 282 386 416 458 506 518 548 552 668	257568488562
STPT(10)	1245525991527253937	0 2 12 14 72 74 132 134 144 146	699922376988
TPT(14)	1245525999137400527	0 2 30 32 54 56 120 122 150 152 180 182 264 266	707532523578
SPT(16)	1245526037690867497	0 4 22 36 66 70 76 94 102 120 126 130 160 174 192 196	746085990548