Prime p₀= 2431812448876458257 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2431811673833877733	0 88 94 100 114 144 178 180 184 186 220 250 264 270 276 364	-775042580524
SPT(16)	2431811767913126461	0 42 52 76 90 100 150 156 172 178 228 238 252 276 286 328	-680963331796
SPT(16)	2431811799749214677	0 6 32 56 86 116 120 132 170 182 186 216 246 270 296 302	-649127243580
SPT(16)	2431811904301684297	0 22 30 64 84 96 106 154 282 330 340 352 372 406 414 436	-544574773960
SPT(13)	2431811911002037259	0 42 48 72 78 168 210 252 342 348 372 378 420	-537874420998
SPT(16)	2431811931417426347	0 30 32 72 84 102 164 182 324 342 404 422 434 474 476 506	-517459031910
STPT(10)	2431812605780831969	0 2 12 14 90 92 168 170 180 182	156904373712
STPT(10)	2431812625118112947	0 2 12 14 42 44 72 74 84 86	176241654690
STPT(10)	2431812752010501659	0 2 48 50 60 62 72 74 120 122	303134043402
STPT(10)	2431813251188998667	0 2 42 44 72 74 102 104 144 146	802312540410
SPT(16)	2431813317677653123	0 34 36 78 84 96 118 144 190 216 238 250 256 298 300 334	868801194866