Prime p₀= 1276580809566339887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: xii5ku
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1276579777951160729	0 2 48 50 90 92 132 134 180 182	-1031615179158
SPT(16)	1276580150999268761	0 2 38 42 48 78 86 116 132 162 170 200 206 210 246 248	-658567071126
STPT(10)	1276580208685685987	0 2 30 32 72 74 114 116 144 146	-600880653900
STPT(10)	1276580442549053009	0 2 18 20 30 32 42 44 60 62	-367017286878
STPT(10)	1276580450784640679	0 2 18 20 30 32 42 44 60 62	-358781699208
SPT(16)	1276580736155804407	0 4 6 30 60 102 142 226 240 324 364 406 436 460 462 466	-73410535480
STPT(10)	1276581147011628707	0 2 60 62 72 74 84 86 144 146	337445288820
STPT(10)	1276581309236386607	0 2 24 26 42 44 60 62 84 86	499670046720
STPT(10)	1276581358879695101	0 2 36 38 78 80 120 122 156 158	549313355214
STPT(10)	1276581574099923701	0 2 36 38 78 80 120 122 156 158	764533583814
SPT(16)	1276581929129189983	0 28 58 108 124 126 138 154 180 196 208 210 226 276 306 334	1119562850096