Prime p₀= 1264413166472175689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Megacruncher
db: batch=77, k=10, 2 10 2 16 2

STPT(10)	1264412008833164507	0 2 30 32 42 44 54 56 84 86	-1157639011182
STPT(10)	1264412058106884227	0 2 90 92 102 104 114 116 204 206	-1108365291462
STPT(10)	1264412652047440001	0 2 78 80 138 140 198 200 276 278	-514424735688
SPT(16)	1264412703494724323	0 24 44 78 116 126 134 156 248 270 278 288 326 360 380 404	-462977451366
SPT(16)	1264412903263715669	0 18 62 90 92 158 162 168 224 230 234 300 302 330 374 392	-263208460020
STPT(10)	1264413022627999859	0 2 18 20 30 32 42 44 60 62	-143844175830
STPT(10)	1264413282547862969	0 2 18 20 30 32 42 44 60 62	116075687280
SPT(16)	1264413538266236903	0 18 30 44 84 114 128 150 164 186 200 230 270 284 296 314	371794061214
SPT(16)	1264413735351443689	0 4 28 60 84 88 94 102 160 168 174 178 202 234 258 262	568879268000
SPT(16)	1264414455925701331	0 28 72 82 88 96 102 132 136 166 172 180 186 196 240 268	1289453525642
SPT(16)	1264414640272112519	0 42 54 78 180 192 218 224 348 354 380 392 494 518 530 572	1473799936830