Prime p₀= 2896589638519358669 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2896587663041417549	0 2 12 14 78 80 120 122 180 182 198 200 240 242	-1975477941120
STPT(10)	2896587983380847051	0 2 6 8 18 20 30 32 36 38	-1655138511618
SPT(16)	2896588570031926849	0 24 34 78 114 118 120 184 204 268 270 274 310 354 364 388	-1068487431820
SPT(16)	2896588948699116691	0 12 70 126 172 192 202 216 256 270 280 300 346 402 460 472	-689820241978
SPT(16)	2896589093879994859	0 42 52 64 142 154 210 220 222 232 288 300 378 390 400 442	-544639363810
SPT(16)	2896589231435480237	0 2 56 60 72 96 150 186 206 242 296 320 332 336 390 392	-407083878432
SPT(16)	2896590960873520283	0 36 50 66 80 90 120 126 170 176 206 216 230 246 260 296	1322354161614
STPT(10)	2896591101574198571	0 2 6 8 48 50 90 92 96 98	1463054839902
SPT(16)	2896591144961871857	0 14 24 42 92 114 174 180 206 212 272 294 344 362 372 386	1506442513188
STPT(10)	2896591334825399927	0 2 42 44 72 74 102 104 144 146	1696306041258
SPT(16)	2896591349635756919	0 12 20 24 42 44 54 104 150 200 210 212 230 234 242 254	1711116398250