Prime p₀= 2679656064431899739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2679655307464269097	0 34 52 82 94 112 160 192 262 294 342 360 372 402 420 454	-756967630642
SPT(16)	2679655371087738067	0 22 24 34 36 66 72 76 150 154 160 190 192 202 204 226	-693344161672
STPT(10)	2679655538328365417	0 2 60 62 72 74 84 86 144 146	-526103534322
TPT(14)	2679655591649590439	0 2 30 32 72 74 198 200 210 212 312 314 420 422	-472782309300
STPT(10)	2679655627630637111	0 2 30 32 78 80 126 128 156 158	-436801262628
SPT(16)	2679655798288224307	0 10 24 40 54 84 94 160 216 282 292 322 336 352 366 376	-266143675432
STPT(10)	2679656216626984337	0 2 12 14 42 44 72 74 84 86	152195084598
SPT(16)	2679656351321838601	0 12 18 60 70 76 82 88 180 186 192 198 208 250 256 268	286889938862
STPT(10)	2679656492424789089	0 2 18 20 60 62 102 104 120 122	427992889350
TPT(14)	2679656670455701271	0 2 150 152 168 170 186 188 240 242 306 308 318 320	606023801532
SPT(16)	2679656708672366047	0 4 42 60 72 100 102 106 360 364 366 394 406 424 462 466	644240466308