Prime p₀= 1307144444478243827 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1307142916588834487	0 12 30 56 96 152 156 194 252 290 294 350 390 416 434 446	-1527889409340
STPT(10)	1307143205220509087	0 2 54 56 72 74 90 92 144 146	-1239257734740
STPT(10)	1307144228635745177	0 2 12 14 42 44 72 74 84 86	-215842498650
STPT(10)	1307144272306028669	0 2 78 80 120 122 162 164 240 242	-172172215158
STPT(12)	1307144370647020649	0 2 18 20 42 44 78 80 102 104 120 122	-73831223178
SPT(16)	1307144424605945227	0 24 52 66 70 126 144 154 222 232 250 306 310 324 352 376	-19872298600
SPT(16)	1307144477174089577	0 24 36 56 62 66 92 102 104 114 140 144 150 170 182 206	32695845750
SPT(16)	1307144583666864751	0 22 42 78 96 102 106 112 216 222 226 232 250 286 306 328	139188620924
SPT(16)	1307144716882638731	0 42 86 102 110 122 140 146 276 282 300 312 320 336 380 422	272404394904
TPT(14)	1307144918497578101	0 2 60 62 126 128 258 260 300 302 390 392 468 470	474019334274
SPT(16)	1307144977482369253	0 34 40 46 114 144 156 286 294 424 436 466 534 540 546 580	533004125426