Prime p₀= 2044664228270381747 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: Dingo
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2044663262055164671	0 6 40 90 120 156 162 196 252 286 292 328 358 408 442 448	-966215217076
TPT(14)	2044663264418459339	0 2 30 32 42 44 48 50 132 134 198 200 222 224	-963851922408
STPT(10)	2044663268228332361	0 2 30 32 78 80 126 128 156 158	-960042049386
STPT(10)	2044663531622825291	0 2 6 8 48 50 90 92 96 98	-696647556456
STPT(10)	2044664117002818107	0 2 24 26 42 44 60 62 84 86	-111267563640
SPT(16)	2044664172498749237	0 42 72 140 164 174 206 230 276 300 332 342 366 434 464 506	-55771632510
STPT(10)	2044664290298181449	0 2 42 44 60 62 78 80 120 122	62027799702
STPT(10)	2044664585218567811	0 2 36 38 78 80 120 122 156 158	356948186064
SPT(16)	2044664640587108831	0 18 26 32 36 42 68 92 96 120 146 152 156 162 170 188	412316727084
SPT(16)	2044664726011960111	0 16 42 108 138 148 190 288 310 408 450 460 490 556 582 598	497741578364
SPT(16)	2044664842684056031	0 36 40 112 150 208 228 256 312 340 360 418 456 528 532 568	614413674284