Prime p₀= 743625160790344757 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=73, k=10, 2 10 2 28 2

SPT(16)	743624556095671997	0 42 50 54 84 92 110 132 152 174 192 200 230 234 242 284	-604694672760
STPT(10)	743624616660643481	0 2 30 32 78 80 126 128 156 158	-544129701276
SPT(20)	743624692612946399	0 30 38 62 72 140 204 254 300 348 374 422 468 518 582 650 660 684 692 722	-468177398358
STPT(10)	743624731094927621	0 2 36 38 78 80 120 122 156 158	-429695417136
SPT(16)	743624799668329001	0 36 42 66 108 120 132 140 198 206 218 230 272 296 302 338	-361122015756
STPT(12)	743624847005020949	0 2 12 14 42 44 48 50 78 80 90 92	-313785323808
STPT(10)	743625647602629731	0 2 36 38 78 80 120 122 156 158	486812284974
STPT(10)	743625807924298457	0 2 54 56 72 74 90 92 144 146	647133953700
STPT(10)	743626098094923191	0 2 36 38 78 80 120 122 156 158	937304578434
STPT(10)	743626396225299287	0 2 30 32 42 44 54 56 84 86	1235434954530
STPT(10)	743626450814820239	0 2 18 20 30 32 42 44 60 62	1290024475482