Prime p₀= 2004446989775147987 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2004445398849786703	0 6 28 54 66 76 84 96 208 220 228 238 250 276 298 304	-1590925361284
STPT(10)	2004445831099154039	0 2 42 44 60 62 78 80 120 122	-1158675993948
STPT(10)	2004446072579703119	0 2 12 14 90 92 168 170 180 182	-917195444868
SPT(16)	2004446256565978349	0 12 24 38 50 78 122 144 158 180 224 252 264 278 290 302	-733209169638
SPT(16)	2004446525887068611	0 8 12 18 56 122 132 192 386 446 456 522 560 566 570 578	-463888079376
STPT(10)	2004446687477863787	0 2 30 32 72 74 114 116 144 146	-302297284200
STPT(10)	2004447145798275089	0 2 18 20 30 32 42 44 60 62	156023127102
SPT(16)	2004447619042939531	0 18 40 42 48 52 66 88 90 112 126 130 136 138 160 178	629267791544
SPT(16)	2004447975013866199	0 30 58 94 102 154 160 178 234 252 258 310 318 354 382 412	985238718212
STPT(10)	2004449126826012467	0 2 30 32 42 44 54 56 84 86	2137050864480
STPT(10)	2004449197852836389	0 2 48 50 90 92 132 134 180 182	2208077688402