Prime p₀= 2014012102139681009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Chooka
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	2014010382720422291	0 2 6 8 18 20 30 32 36 38	-1719419258718
SPT(16)	2014010664772166227	0 4 72 90 100 154 160 202 252 294 300 354 364 382 450 454	-1437367514782
SPT(16)	2014011132132626521	0 12 76 82 88 100 102 126 142 166 168 180 186 192 256 268	-970007054488
STPT(10)	2014011484259875979	0 2 48 50 90 92 132 134 180 182	-617879805030
SPT(16)	2014011646992438169	0 18 42 48 118 124 130 150 202 222 228 234 304 310 334 352	-455147242840
SPT(16)	2014011760146220297	0 12 40 72 94 100 114 162 172 220 234 240 262 294 322 334	-341993460712
SPT(16)	2014012142536439239	0 18 34 84 90 94 130 160 162 192 228 232 238 288 304 322	40396758230
SPT(16)	2014012179142665109	0 18 48 64 94 102 108 130 132 154 160 168 198 214 244 262	77002984100
STPT(10)	2014012202730662747	0 2 30 32 42 44 54 56 84 86	100590981738
STPT(10)	2014012410169726157	0 2 42 44 72 74 102 104 144 146	308030045148
SPT(16)	2014012651677844007	0 12 14 32 56 84 114 120 176 182 212 240 264 282 284 296	549538162998