Prime p₀= 2014100275084082357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	2014098787849322719	0 10 28 42 72 100 102 168 202 268 270 298 328 342 360 370	-1487234759638
STPT(10)	2014099405754237489	0 2 78 80 120 122 162 164 240 242	-869329844868
TPT(14)	2014099485406333517	0 2 12 14 24 26 54 56 84 86 192 194 234 236	-789677748840
STPT(10)	2014099617175292831	0 2 30 32 60 62 90 92 120 122	-657908789526
SPT(16)	2014099628465690669	0 12 30 78 92 98 120 138 182 200 222 228 242 290 308 320	-646618391688
STPT(10)	2014100214912337157	0 2 12 14 72 74 132 134 144 146	-60171745200
STPT(10)	2014100540511019757	0 2 30 32 42 44 54 56 84 86	265426937400
TPT(14)	2014100579279806091	0 2 18 20 48 50 156 158 240 242 336 338 438 440	304195723734
STPT(10)	2014100658737444399	0 2 48 50 90 92 132 134 180 182	383653362042
TPT(14)	2014100779130556689	0 2 72 74 108 110 138 140 198 200 222 224 240 242	504046474332
SPT(16)	2014100820485852639	0 24 78 98 114 170 204 212 420 428 462 518 534 554 608 632	545401770282