Prime p₀= 2579696667092779019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: kotenok2000
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2579695484302905827	0 36 42 66 104 110 126 146 180 200 216 222 260 284 290 326	-1182789873192
STPT(10)	2579695888585450301	0 2 78 80 168 170 258 260 336 338	-778507328718
SPT(16)	2579695944476185961	0 2 12 72 98 116 122 150 158 186 192 210 236 296 306 308	-722616593058
STPT(10)	2579695998690185027	0 2 42 44 72 74 102 104 144 146	-668402593992
STPT(10)	2579696406995827319	0 2 12 14 90 92 168 170 180 182	-260096951700
SPT(16)	2579696586454876723	0 4 18 90 106 156 196 204 280 288 328 378 394 466 480 484	-80637902296
STPT(10)	2579696876525221667	0 2 30 32 42 44 54 56 84 86	209432442648
SPT(16)	2579697461162610697	0 6 24 52 82 84 96 172 174 250 262 264 294 322 340 346	794069831678
STPT(10)	2579697589726827137	0 2 12 14 42 44 72 74 84 86	922634048118
STPT(10)	2579697838602556349	0 2 18 20 30 32 42 44 60 62	1171509777330
STPT(10)	2579697889843859381	0 2 36 38 78 80 120 122 156 158	1222751080362