Prime p₀= 1276580442549053009 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: xii5ku
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1276578966658222729	0 10 12 34 54 64 82 130 294 342 360 370 390 412 414 424	-1475890830280
SPT(16)	1276579469947444001	0 56 66 78 86 96 98 120 128 150 152 162 170 182 192 248	-972601609008
STPT(10)	1276579753066714637	0 2 30 32 72 74 114 116 144 146	-689482338372
STPT(10)	1276579777951160729	0 2 48 50 90 92 132 134 180 182	-664597892280
SPT(16)	1276580150999268761	0 2 38 42 48 78 86 116 132 162 170 200 206 210 246 248	-291549784248
STPT(10)	1276580208685685987	0 2 30 32 72 74 114 116 144 146	-233863367022
STPT(10)	1276580450784640679	0 2 18 20 30 32 42 44 60 62	8235587670
SPT(16)	1276580736155804407	0 4 6 30 60 102 142 226 240 324 364 406 436 460 462 466	293606751398
STPT(10)	1276580809566339887	0 2 30 32 42 44 54 56 84 86	367017286878
STPT(10)	1276581147011628707	0 2 60 62 72 74 84 86 144 146	704462575698
STPT(10)	1276581309236386607	0 2 24 26 42 44 60 62 84 86	866687333598