Prime p₀= 1410687326585986697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Theadalus
db: batch=78, k=10, 2 82 2 46 2

SPT(16)	1410685750055054149	0 40 52 70 108 130 144 174 208 238 252 274 312 330 342 382	-1576530932548
STPT(10)	1410686145850879901	0 2 90 92 150 152 210 212 300 302	-1180735106796
SPT(16)	1410686409405780823	0 46 88 136 138 144 150 156 208 214 220 226 228 276 318 364	-917180205874
SPT(16)	1410686624955519953	0 38 48 60 96 170 188 194 270 276 294 368 404 416 426 464	-701630466744
STPT(10)	1410686648575759727	0 2 12 14 72 74 132 134 144 146	-678010226970
SPT(16)	1410686829108745367	0 44 90 152 182 216 242 260 306 324 350 384 414 476 522 566	-497477241330
TPT(14)	1410687486506933519	0 2 78 80 132 134 222 224 258 260 300 302 330 332	159920946822
STPT(10)	1410687543862807841	0 2 36 38 78 80 120 122 156 158	217276821144
SPT(16)	1410687685614876247	0 40 42 60 66 96 126 186 196 256 286 316 322 340 342 382	359028889550
TPT(14)	1410687874375817501	0 2 6 8 36 38 48 50 120 122 246 248 258 260	547789830804
STPT(10)	1410687987875720369	0 2 12 14 30 32 48 50 60 62	661289733672