Prime p₀= 1319571233226701561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Theadalus
db: batch=77, k=10, 2 64 2 70 2

SPT(16)	1319570390489054729	0 12 42 78 90 104 138 168 224 254 288 302 314 350 380 392	-842737646832
TPT(14)	1319570602353965657	0 2 24 26 42 44 210 212 372 374 510 512 570 572	-630872735904
SPT(16)	1319570602776689209	0 22 30 52 60 72 102 114 268 280 310 322 330 352 360 382	-630450012352
STPT(10)	1319570841201601127	0 2 42 44 72 74 102 104 144 146	-392025100434
SPT(16)	1319570892115062893	0 18 38 60 126 144 146 180 194 228 230 248 314 336 356 374	-341111638668
TPT(14)	1319570930796223097	0 2 42 44 102 104 150 152 234 236 252 254 264 266	-302430478464
STPT(10)	1319571443283393269	0 2 12 14 30 32 48 50 60 62	210056691708
SPT(16)	1319571715820622283	0 10 18 70 96 108 126 136 210 220 238 250 276 328 336 346	482593920722
SPT(16)	1319571860386827221	0 18 38 72 96 102 110 122 186 198 206 212 236 270 290 308	627160125660
SPT(16)	1319571868565779789	0 4 22 60 64 70 72 108 154 190 192 198 202 240 258 262	635339078228
SPT(16)	1319572162962491771	0 32 92 102 120 146 158 212 216 270 282 308 326 336 396 428	929735790210