Prime p₀= 1550463266605276337 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: crashtech
db: batch=78, k=10, 2 10 2 28 2

STPT(10)	1550462367601611197	0 2 30 32 42 44 54 56 84 86	-899003665140
STPT(10)	1550462441665651901	0 2 30 32 78 80 126 128 156 158	-824939624436
SPT(16)	1550462535400144867	0 12 36 102 106 180 256 270 316 330 406 480 484 550 574 586	-731205131470
STPT(10)	1550462711227541861	0 2 120 122 138 140 156 158 276 278	-555377734476
SPT(16)	1550463207114266351	0 12 18 36 62 92 98 110 168 180 186 216 242 260 266 278	-59491009986
TPT(14)	1550463239357492279	0 2 30 32 72 74 78 80 108 110 120 122 180 182	-27247784058
SPT(16)	1550463320543470657	0 10 22 42 70 120 156 190 246 280 316 366 394 414 426 436	53938194320
SPT(16)	1550463594151519493	0 6 68 90 138 140 180 218 276 314 354 356 404 426 488 494	327546243156
STPT(10)	1550463842931841931	0 2 36 38 78 80 120 122 156 158	576326565594
TPT(14)	1550464113049601459	0 2 12 14 48 50 78 80 90 92 150 152 210 212	846444325122
STPT(10)	1550464460401839791	0 2 6 8 48 50 90 92 96 98	1193796563454