Prime p₀= 2830579234158804197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 88 2 94 2 28 2 22 2 (?)
a_n: 0 2 12 14 24 26 114 116 210 212 240 242 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 10 10 88 94 28 22

SPT(16)	2830576539374806511	0 20 120 122 128 150 170 198 302 330 350 372 378 380 480 500	-2694783997686
SPT(16)	2830576780871510051	0 12 90 128 140 182 192 210 260 278 288 330 342 380 458 470	-2453287294146
SPT(16)	2830576856799514219	0 12 28 34 40 60 82 90 172 180 202 222 228 234 250 262	-2377359289978
SPT(16)	2830577194387715209	0 30 40 48 54 78 82 94 138 150 154 178 184 192 202 232	-2039771088988
STPT(10)	2830578027258978551	0 2 36 38 78 80 120 122 156 158	-1206899825646
SPT(16)	2830578531709367981	0 12 20 38 50 68 78 122 138 182 192 210 222 240 248 260	-702449436216
SPT(16)	2830579613697088541	0 12 26 30 38 68 78 198 260 380 390 420 428 432 446 458	379538284344
STPT(10)	2830579802976780269	0 2 48 50 60 62 72 74 120 122	568817976072
STPT(10)	2830580153289512807	0 2 30 32 42 44 54 56 84 86	919130708610
STPT(10)	2830580521608498017	0 2 60 62 72 74 84 86 144 146	1287449693820
SPT(16)	2830580673823871071	0 22 36 48 52 76 126 148 180 202 252 276 280 292 306 328	1439665066874