Prime p₀= 1237963953561788657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1237963006861084319	0 2 12 14 30 32 48 50 60 62	-946700704338
STPT(10)	1237963198072301669	0 2 12 14 90 92 168 170 180 182	-755489486988
STPT(10)	1237963447914922847	0 2 24 26 42 44 60 62 84 86	-505646865810
SPT(16)	1237963524950261201	0 2 30 42 72 98 140 158 180 198 240 266 296 308 336 338	-428611527456
STPT(10)	1237963654038789647	0 2 30 32 72 74 114 116 144 146	-299522999010
STPT(10)	1237963835298525497	0 2 30 32 42 44 54 56 84 86	-118263263160
SPT(16)	1237963965442253003	0 8 38 50 54 78 104 108 110 114 140 164 168 180 210 218	11880464346
SPT(16)	1237963974408863461	0 18 28 36 70 96 102 112 216 226 232 258 292 300 310 328	20847074804
TPT(14)	1237964403314095439	0 2 78 80 132 134 138 140 162 164 168 170 180 182	449752306782
SPT(16)	1237964509306552439	0 12 14 24 32 84 102 122 132 152 170 222 230 240 242 254	555744763782
TPT(14)	1237964715579218927	0 2 42 44 84 86 144 146 150 152 180 182 234 236	762017430270