Prime p₀= 2014010382720422291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Chooka
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2014009528194215641	0 22 48 160 168 172 178 258 292 372 378 382 390 502 528 550	-854526206650
STPT(10)	2014009553676218237	0 2 12 14 42 44 72 74 84 86	-829044204054
STPT(10)	2014009667734486529	0 2 42 44 120 122 198 200 240 242	-714985935762
SPT(16)	2014010140530264413	0 18 38 50 78 186 188 210 224 246 248 356 384 396 416 434	-242190157878
SPT(16)	2014010293987738303	0 28 54 78 96 108 148 168 286 306 346 358 376 400 426 454	-88732683988
SPT(16)	2014010369989410721	0 22 48 60 76 82 88 136 162 210 216 222 238 250 276 298	-12731011570
SPT(16)	2014010664772166227	0 4 72 90 100 154 160 202 252 294 300 354 364 382 450 454	282051743936
SPT(16)	2014011132132626521	0 12 76 82 88 100 102 126 142 166 168 180 186 192 256 268	749412204230
STPT(10)	2014011484259875979	0 2 48 50 90 92 132 134 180 182	1101539453688
SPT(16)	2014011646992438169	0 18 42 48 118 124 130 150 202 222 228 234 304 310 334 352	1264272015878
SPT(16)	2014011760146220297	0 12 40 72 94 100 114 162 172 220 234 240 262 294 322 334	1377425798006