Prime p₀= 1051378982350901759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Theadalus
db: batch=76, k=10, 2 76 2 40 2

STPT(10)	1051378419605033489	0 2 12 14 30 32 48 50 60 62	-562745868270
STPT(10)	1051378479512544437	0 2 42 44 72 74 102 104 144 146	-502838357322
STPT(10)	1051378746802151219	0 2 48 50 90 92 132 134 180 182	-235548750540
TPT(14)	1051378790637025397	0 2 24 26 30 32 54 56 204 206 252 254 264 266	-191713876362
SPT(16)	1051378807684724809	0 28 30 34 78 120 132 142 210 220 232 274 318 322 324 352	-174666176950
SPT(16)	1051378814123635513	0 6 46 136 208 220 234 256 258 280 294 306 378 468 508 514	-168227266246
STPT(10)	1051379159018623187	0 2 30 32 42 44 54 56 84 86	176667721428
SPT(16)	1051379230323879617	0 14 62 86 102 122 186 222 284 320 384 404 420 444 492 506	247972977858
SPT(16)	1051379260010716363	0 34 48 60 90 100 114 184 210 280 294 304 334 346 360 394	277659814604
TPT(14)	1051379272394538551	0 2 48 50 78 80 90 92 156 158 246 248 258 260	290043636792
SPT(16)	1051379786766014287	0 22 66 192 256 270 274 282 304 312 316 330 394 520 564 586	804415112528