Prime p₀= 2089577123312835851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2089575440591400149	0 20 62 114 128 164 174 180 182 188 198 234 248 300 342 362	-1682721435702
STPT(10)	2089575675996965279	0 2 12 14 30 32 48 50 60 62	-1447315870572
SPT(16)	2089575847962697067	0 30 56 96 102 110 120 140 156 176 186 194 200 240 266 296	-1275350138784
TPT(14)	2089576130244048359	0 2 12 14 18 20 60 62 90 92 102 104 132 134	-993068787492
SPT(16)	2089576500021625991	0 32 38 80 90 102 132 140 150 158 188 200 210 252 258 290	-623291209860
SPT(16)	2089576697872060343	0 14 18 24 36 38 48 126 248 326 336 338 350 356 360 374	-425440775508
TPT(14)	2089577468491074407	0 2 30 32 102 104 180 182 282 284 294 296 312 314	345178238556
SPT(16)	2089577966566040633	0 26 30 60 86 104 140 156 158 174 210 228 254 284 288 314	843253204782
SPT(16)	2089578091159093901	0 18 42 56 66 78 120 132 176 188 230 242 252 266 290 308	967846258050
STPT(10)	2089578309148697501	0 2 36 38 78 80 120 122 156 158	1185835861650
SPT(16)	2089579036227696763	0 36 66 96 126 144 166 190 210 234 256 274 304 334 364 400	1912914860912