Prime p₀= 2469385822215048557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 10 2 46 2 10 2 64 2 (?)
a_n: 0 2 30 32 72 74 84 86 132 134 144 146 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 28 40 10 46 10 64

SPT(16)	2469384510436268671	0 10 30 46 78 88 100 120 136 156 168 178 210 226 246 256	-1311778779886
SPT(16)	2469384648605474827	0 34 82 84 120 132 166 174 232 240 274 286 322 324 372 406	-1173609573730
SPT(16)	2469384668292495791	0 50 66 68 90 120 126 138 188 200 206 236 258 260 276 326	-1153922552766
SPT(16)	2469385188995221621	0 10 48 82 88 102 108 112 276 280 286 300 306 340 378 388	-633219826936
STPT(10)	2469385507734695447	0 2 60 62 72 74 84 86 144 146	-314480353110
SPT(16)	2469385607755988609	0 42 44 50 72 80 90 150 182 242 252 260 282 288 290 332	-214459059948
SPT(16)	2469385985227162373	0 38 50 78 168 176 186 234 260 308 318 326 416 444 456 494	163012113816
STPT(10)	2469386348481395171	0 2 6 8 48 50 90 92 96 98	526266346614
SPT(16)	2469386567895719137	0 64 84 102 112 172 190 226 240 276 294 354 364 382 402 466	745680670580
SPT(16)	2469386671859474597	0 24 74 80 90 104 230 272 294 336 462 476 486 492 542 566	849644426040
TPT(14)	2469387138081901811	0 2 96 98 138 140 198 200 228 230 300 302 366 368	1315866853254