Prime p₀= 2014000157964613769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Chooka
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2013998449013552831	0 18 26 42 56 78 86 168 170 252 260 282 296 312 320 338	-1708951060938
STPT(10)	2013998552874778541	0 2 36 38 78 80 120 122 156 158	-1605089835228
SPT(16)	2013998839825922921	0 30 72 96 102 116 126 140 168 182 192 206 212 236 278 308	-1318138690848
SPT(16)	2013998848360909649	0 38 44 72 78 110 144 170 192 218 252 284 290 318 324 362	-1309603704120
SPT(16)	2013999521559989981	0 56 90 98 138 162 206 210 218 222 266 290 330 338 372 428	-636404623788
SPT(16)	2013999835311486199	0 24 48 52 64 90 100 108 154 162 172 198 210 214 238 262	-322653127570
SPT(16)	2014000339005623329	0 4 28 40 64 100 130 132 280 282 312 348 372 384 408 412	181041009560
STPT(10)	2014000364405630987	0 2 12 14 42 44 72 74 84 86	206441017218
SPT(16)	2014000390800030277	0 30 36 46 66 84 94 100 150 156 166 184 204 214 220 250	232835416508
SPT(16)	2014000474148137847	0 14 26 30 110 114 120 140 150 170 176 180 260 264 276 290	316183524078
SPT(16)	2014001061401994893	0 30 54 56 68 104 114 128 186 200 210 246 258 260 284 314	903437381124