Prime p₀= 1319901484591237967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1319900037571689331	0 6 36 42 52 76 88 160 228 300 312 336 346 352 382 388	-1447019548636
SPT(16)	1319900128830150229	0 18 84 94 124 138 168 220 222 274 304 318 348 358 424 442	-1355761087738
SPT(16)	1319900158978291511	0 12 18 26 56 78 152 162 206 216 290 312 342 350 356 368	-1325612946456
STPT(12)	1319900271821132459	0 2 12 14 42 44 78 80 108 110 120 122	-1212770105508
SPT(16)	1319901206483945333	0 50 54 98 120 138 140 204 254 318 320 338 360 404 408 458	-278107292634
SPT(16)	1319901450318088837	0 30 64 82 124 150 154 232 294 372 376 402 444 462 496 526	-34273149130
TPT(14)	1319901521672802881	0 2 36 38 126 128 138 140 150 152 168 170 180 182	37081564914
STPT(10)	1319902109261612951	0 2 6 8 48 50 90 92 96 98	624670374984
SPT(16)	1319902222501892357	0 12 30 42 56 66 116 180 212 276 326 336 350 362 380 392	737910654390
TPT(14)	1319902245551169557	0 2 30 32 54 56 114 116 144 146 222 224 252 254	760959931590
STPT(10)	1319902837722774059	0 2 18 20 30 32 42 44 60 62	1353131536092