Prime p₀= 1311782430139931081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 40 2 40 2 94 2 (?)
a_n: 0 2 96 98 138 140 180 182 276 278
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: vaughan
db: batch=77, k=10, 2 94 2 40 2

SPT(16)	1311782008648558589	0 2 20 38 48 50 72 134 198 260 282 284 294 312 330 332	-421491372492
STPT(10)	1311782113434853937	0 2 30 32 60 62 90 92 120 122	-316705077144
TPT(14)	1311782164993345007	0 2 30 32 42 44 72 74 84 86 132 134 144 146	-265146586074
SPT(16)	1311782216165434691	0 6 30 32 60 108 116 168 170 222 230 278 306 308 332 338	-213974496390
STPT(10)	1311782246791410167	0 2 54 56 72 74 90 92 144 146	-183348520914
SPT(16)	1311782325498219361	0 12 36 76 78 180 246 282 286 322 388 490 492 532 556 568	-104641711720
SPT(16)	1311782846225815297	0 24 52 60 132 136 154 166 180 192 210 214 286 294 322 346	416085884216
STPT(10)	1311783246261430751	0 2 6 8 48 50 90 92 96 98	816121499670
STPT(10)	1311783836246186621	0 2 36 38 108 110 180 182 216 218	1406106255540
STPT(10)	1311784160670027437	0 2 30 32 42 44 54 56 84 86	1730530096356
SPT(16)	1311784213707089273	0 30 56 116 140 170 186 240 254 308 324 354 378 438 464 494	1783567158192