Prime p₀= 2597802664829957279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: eclipse99
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2597799606468592469	0 14 32 42 60 74 80 108 164 192 198 212 230 240 258 272	-3058361364810
SPT(16)	2597799845081002357	0 12 52 162 190 196 252 262 330 340 396 402 430 540 580 592	-2819748954922
STPT(10)	2597800505710864211	0 2 6 8 18 20 30 32 36 38	-2159119093068
STPT(10)	2597800709481815567	0 2 30 32 72 74 114 116 144 146	-1955348141712
SPT(16)	2597801203701237997	0 4 12 16 24 114 130 144 232 246 262 352 360 364 372 376	-1461128719282
STPT(10)	2597801351238620627	0 2 42 44 72 74 102 104 144 146	-1313591336652
STPT(10)	2597803174741939667	0 2 24 26 42 44 60 62 84 86	509911982388
STPT(10)	2597803966792903751	0 2 36 38 78 80 120 122 156 158	1301962946472
SPT(20)	2597804025623441023	0 28 60 96 124 126 160 168 190 198 256 264 286 294 328 330 358 394 426 454	1360793483744
STPT(10)	2597804051296523477	0 2 72 74 102 104 132 134 204 206	1386466566198
SPT(16)	2597804695326335563	0 34 48 54 78 84 120 148 186 214 250 256 280 286 300 334	2030496378284