Prime p₀= 2014012410169726157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Chooka
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2014011646992438169	0 18 42 48 118 124 130 150 202 222 228 234 304 310 334 352	-763177287988
SPT(16)	2014011760146220297	0 12 40 72 94 100 114 162 172 220 234 240 262 294 322 334	-650023505860
STPT(10)	2014012102139681009	0 2 42 44 60 62 78 80 120 122	-308030045148
SPT(16)	2014012142536439239	0 18 34 84 90 94 130 160 162 192 228 232 238 288 304 322	-267633286918
SPT(16)	2014012179142665109	0 18 48 64 94 102 108 130 132 154 160 168 198 214 244 262	-231027061048
STPT(10)	2014012202730662747	0 2 30 32 42 44 54 56 84 86	-207439063410
SPT(16)	2014012651677844007	0 12 14 32 56 84 114 120 176 182 212 240 264 282 284 296	241508117850
TPT(14)	2014013482381252841	0 2 126 128 156 158 168 170 186 188 228 230 306 308	1072211526684
STPT(10)	2014013736231468467	0 2 60 62 72 74 84 86 144 146	1326061742310
STPT(10)	2014013789744634287	0 2 30 32 42 44 54 56 84 86	1379574908130
SPT(16)	2014014000747416761	0 16 22 42 52 58 88 112 186 210 240 246 256 276 282 298	1590577690604