Prime p₀= 1289091860152914287 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1289090547041708771	0 38 48 90 138 210 216 308 330 422 428 500 548 590 600 638	-1313111205516
SPT(16)	1289090646090319571	0 38 50 80 90 198 230 240 266 276 308 416 426 456 468 506	-1214062594716
SPT(16)	1289091037827596273	0 8 18 26 96 128 138 156 200 218 228 260 330 338 348 356	-822325318014
STPT(10)	1289091163854612257	0 2 42 44 72 74 102 104 144 146	-696298302030
STPT(10)	1289091421844911337	0 2 42 44 72 74 102 104 144 146	-438308002950
STPT(10)	1289091797320761521	0 2 6 8 48 50 90 92 96 98	-62832152766
TPT(14)	1289091898469064671	0 2 36 38 48 50 60 62 246 248 408 410 480 482	38316150384
STPT(10)	1289092186860718949	0 2 18 20 60 62 102 104 120 122	326707804662
STPT(10)	1289092221660584567	0 2 30 32 72 74 114 116 144 146	361507670280
SPT(16)	1289092383552361139	0 38 68 78 92 98 110 120 170 180 192 198 212 222 252 290	523399446852
SPT(16)	1289093105458762739	0 18 50 62 72 104 132 134 168 170 198 230 240 252 284 302	1245305848452