Prime p₀= 2014082167395407957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Chooka
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2014081203449359241	0 2 18 86 116 140 170 182 186 198 228 252 282 350 366 368	-963946048716
STPT(10)	2014081313222783417	0 2 30 32 42 44 54 56 84 86	-854172624540
STPT(10)	2014081409019261467	0 2 54 56 72 74 90 92 144 146	-758376146490
TPT(14)	2014081593939932681	0 2 36 38 48 50 66 68 90 92 150 152 180 182	-573455475276
SPT(16)	2014081831644434053	0 34 108 118 126 144 160 186 238 264 280 298 306 316 390 424	-335750973904
SPT(16)	2014081980346540427	0 14 50 60 86 110 140 170 276 306 336 360 386 396 432 446	-187048867530
SPT(16)	2014082269824196619	0 24 62 68 98 108 110 138 194 222 224 234 264 270 308 332	102428788662
SPT(16)	2014083084644240989	0 12 30 40 52 112 124 144 190 210 222 282 294 304 322 334	917248833032
STPT(10)	2014083340585851707	0 2 12 14 42 44 72 74 84 86	1173190443750
SPT(16)	2014083674513849269	0 52 70 78 94 102 108 118 144 154 160 168 184 192 210 262	1507118441312
STPT(10)	2014083779370055451	0 2 36 38 78 80 120 122 156 158	1611974647494