Prime p₀= 1264779380754758117 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1264777971047438669	0 8 12 42 78 90 128 152 240 264 302 314 350 380 384 392	-1409707319448
SPT(16)	1264778141039415007	0 46 64 102 144 150 172 174 232 234 256 262 304 342 360 406	-1239715343110
STPT(10)	1264778658154630439	0 2 18 20 30 32 42 44 60 62	-722600127678
SPT(16)	1264779086945907073	0 30 94 150 160 198 214 216 298 300 316 354 364 420 484 514	-293808851044
STPT(10)	1264779166713513767	0 2 30 32 42 44 54 56 84 86	-214041244350
STPT(10)	1264779354028409039	0 2 18 20 30 32 42 44 60 62	-26726349078
STPT(10)	1264779417655993409	0 2 18 20 60 62 102 104 120 122	36901235292
STPT(10)	1264779461338336091	0 2 30 32 78 80 126 128 156 158	80583577974
STPT(10)	1264779564296430617	0 2 30 32 42 44 54 56 84 86	183541672500
STPT(10)	1264779636643599617	0 2 30 32 72 74 114 116 144 146	255888841500
TPT(14)	1264779646422262079	0 2 42 44 132 134 180 182 222 224 300 302 312 314	265667503962