Prime p₀= 1051012285312991537 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1051011058647767501	0 32 50 138 146 168 176 188 300 312 320 342 350 438 456 488	-1226665224036
SPT(16)	1051011574461046111	0 42 82 90 138 196 238 298 420 480 522 580 628 636 676 718	-710851945426
SPT(16)	1051012046023385951	0 8 42 86 92 96 108 120 128 140 152 156 162 206 240 248	-239289605586
STPT(10)	1051012136867762099	0 2 30 32 60 62 90 92 120 122	-148445229438
SPT(16)	1051012233987006323	0 18 30 48 74 96 120 146 168 194 218 240 266 284 296 314	-51325985214
SPT(16)	1051012274424950363	0 30 38 54 56 78 126 180 194 248 296 318 320 336 344 374	-10888041174
SPT(20)	1051012296794941577	0 12 20 32 56 120 132 144 174 182 264 272 302 314 326 390 414 426 434 446	11481950040
STPT(10)	1051012543368454967	0 2 24 26 42 44 60 62 84 86	258055463430
SPT(16)	1051012767134592109	0 40 70 84 138 148 154 162 190 198 204 214 268 282 312 352	481821600572
SPT(16)	1051012907696977331	0 18 30 36 56 60 66 78 200 212 218 222 242 248 260 278	622383985794
SPT(16)	1051013018477958727	0 16 24 36 90 232 246 262 294 310 324 466 520 532 540 556	733164967190