Prime p₀= 2576698759022859059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2576697593763988481	0 20 56 80 92 138 168 210 218 260 290 336 348 372 408 428	-1165258870578
STPT(12)	2576697948621978887	0 2 12 14 54 56 60 62 102 104 114 116	-810400880172
STPT(10)	2576698225910513987	0 2 42 44 72 74 102 104 144 146	-533112345072
SPT(16)	2576698485052036327	0 16 24 54 82 100 112 126 250 264 276 294 322 352 360 376	-273970822732
STPT(10)	2576698611185527847	0 2 42 44 72 74 102 104 144 146	-147837331212
SPT(16)	2576698656064402313	0 20 36 108 134 140 146 170 174 198 204 210 236 308 324 344	-102958456746
SPT(16)	2576698761756909971	0 30 60 68 86 158 230 240 308 318 390 462 480 488 518 548	2734050912
STPT(10)	2576699292499722161	0 2 30 32 78 80 126 128 156 158	533476863102
STPT(10)	2576699414851238231	0 2 36 38 78 80 120 122 156 158	655828379172
SPT(16)	2576699594463342331	0 46 76 112 148 162 172 216 322 366 376 390 426 462 492 538	835440483272
STPT(10)	2576699802635862107	0 2 12 14 42 44 72 74 84 86	1043613003048