Prime p₀= 2531768632865744771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2531767581109329463	0 18 24 40 46 54 76 94 120 138 160 168 174 190 196 214	-1051756415308
STPT(10)	2531767602378298301	0 2 78 80 108 110 138 140 216 218	-1030487446470
SPT(16)	2531767701041497417	0 24 36 52 64 72 102 126 130 154 184 192 204 220 232 256	-931824247354
STPT(10)	2531767959934654277	0 2 42 44 72 74 102 104 144 146	-672931090494
SPT(16)	2531768425613924087	0 42 90 110 120 132 152 164 192 204 224 236 246 266 314 356	-207251820684
STPT(10)	2531768541687248189	0 2 18 20 30 32 42 44 60 62	-91178496582
STPT(10)	2531768913759713597	0 2 30 32 72 74 114 116 144 146	280893968826
STPT(10)	2531769513725971061	0 2 6 8 48 50 90 92 96 98	880860226290
SPT(16)	2531770183504618571	0 26 62 92 102 120 126 132 140 146 152 170 180 210 246 272	1550638873800
STPT(12)	2531770331293459301	0 2 36 38 48 50 78 80 90 92 126 128	1698427714530
STPT(10)	2531770419675617171	0 2 6 8 18 20 30 32 36 38	1786809872400