Prime p₀= 2070569418429403649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2070567673332311969	0 2 12 14 30 32 48 50 60 62	-1745097091680
SPT(16)	2070567755913772253	0 24 36 54 66 68 80 116 168 204 216 218 230 248 260 284	-1662515631396
STPT(10)	2070568731903087539	0 2 12 14 90 92 168 170 180 182	-686526316110
SPT(18)	2070568758219636121	0 28 46 66 102 108 126 130 132 256 258 262 280 286 322 342 360 388	-660209767528
SPT(16)	2070568781650671821	0 12 36 78 96 116 122 128 150 156 162 182 200 242 266 278	-636778731828
STPT(10)	2070569290427239241	0 2 6 8 48 50 90 92 96 98	-128002164408
STPT(10)	2070569437952212541	0 2 36 38 78 80 120 122 156 158	19522808892
SPT(16)	2070569479272245173	0 78 106 126 178 186 210 228 238 256 280 288 340 360 388 466	60842841524
SPT(16)	2070569724342972121	0 42 132 156 192 252 286 306 346 366 400 460 496 520 610 652	305913568472
STPT(10)	2070569752424702699	0 2 42 44 60 62 78 80 120 122	333995299050
STPT(10)	2070569924837292971	0 2 66 68 138 140 210 212 276 278	506407889322