Prime p₀= 2014099617175292831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

SPT(16)	2014098318455269903	0 28 36 54 70 76 90 106 138 154 168 174 190 208 216 244	-1298720022928
STPT(10)	2014098348766042751	0 2 36 38 78 80 120 122 156 158	-1268409250080
SPT(16)	2014098439332414511	0 10 16 18 30 42 88 108 130 150 196 208 220 222 228 238	-1177842878320
SPT(16)	2014098787849322719	0 10 28 42 72 100 102 168 202 268 270 298 328 342 360 370	-829325970112
STPT(10)	2014099405754237489	0 2 78 80 120 122 162 164 240 242	-211421055342
TPT(14)	2014099485406333517	0 2 12 14 24 26 54 56 84 86 192 194 234 236	-131768959314
SPT(16)	2014099628465690669	0 12 30 78 92 98 120 138 182 200 222 228 242 290 308 320	11290397838
STPT(10)	2014100214912337157	0 2 12 14 72 74 132 134 144 146	597737044326
STPT(10)	2014100275084082357	0 2 12 14 72 74 132 134 144 146	657908789526
STPT(10)	2014100540511019757	0 2 30 32 42 44 54 56 84 86	923335726926
TPT(14)	2014100579279806091	0 2 18 20 48 50 156 158 240 242 336 338 438 440	962104513260