Prime p₀= 756644981140175357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Dirk Broer
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	756644314521404039	0 14 24 42 44 84 90 104 108 122 128 168 170 188 198 212	-666618771318
STPT(10)	756644349427124069	0 2 18 20 30 32 42 44 60 62	-631713051288
STPT(10)	756644372216049599	0 2 42 44 60 62 78 80 120 122	-608924125758
STPT(10)	756644777898036227	0 2 30 32 72 74 114 116 144 146	-203242139130
STPT(10)	756644784916841801	0 2 36 38 78 80 120 122 156 158	-196223333556
SPT(16)	756644961926071079	0 72 102 140 144 170 192 210 362 380 402 428 432 470 500 572	-19214104278
SPT(16)	756645892783512731	0 2 6 60 80 110 146 152 186 192 228 258 278 332 336 338	911643337374
SPT(16)	756647083898541811	0 48 76 118 136 148 156 178 180 202 210 222 240 282 310 358	2102758366454
STPT(10)	756647090174925797	0 2 12 14 42 44 72 74 84 86	2109034750440
STPT(10)	756647186804671541	0 2 36 38 78 80 120 122 156 158	2205664496184
SPT(16)	756647555303555869	0 10 24 64 70 78 88 114 148 174 184 192 198 238 252 262	2574163380512