Prime p₀= 3008826649689204737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	3008825947726655039	0 2 18 20 60 62 102 104 222 224 228 230 300 302	-701962549698
STPT(10)	3008825995408517651	0 2 6 8 48 50 90 92 96 98	-654280687086
SPT(16)	3008826082999792859	0 42 44 110 138 152 174 182 240 248 270 284 312 378 380 422	-566689411878
TPT(14)	3008826182569022357	0 2 42 44 84 86 174 176 180 182 222 224 252 254	-467120182380
TPT(14)	3008826521769938069	0 2 72 74 198 200 258 260 300 302 420 422 468 470	-127919266668
STPT(10)	3008826549248837027	0 2 42 44 72 74 102 104 144 146	-100440367710
SPT(16)	3008826731153663873	0 6 50 56 68 74 78 96 98 116 120 126 138 144 188 194	81464459136
SPT(16)	3008826802292184281	0 48 50 72 90 132 146 168 170 192 206 248 266 288 290 338	152602979544
SPT(16)	3008826984483500501	0 66 90 102 128 140 168 192 206 230 258 270 296 308 332 398	334794295764
STPT(10)	3008827018703795579	0 2 12 14 90 92 168 170 180 182	369014590842
SPT(16)	3008827557576128747	0 6 12 86 90 110 140 144 182 186 216 236 240 314 320 326	907886924010