Prime p₀= 1912828230719882129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 220 2 28 2 64 2 262 2 28 2 16 2 (?)
a_n: 0 2 222 224 252 254 318 320 582 584 612 614 630 632
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: 632
Found by: Landjunge
db: batch=80, k=14, 220 28 64 262 28 16

SPT(16)	1912827637836090893	0 38 54 84 114 128 164 198 206 240 276 290 320 350 366 404	-592883791236
STPT(10)	1912827757434177839	0 2 48 50 90 92 132 134 180 182	-473285704290
SPT(16)	1912827785883658571	0 6 32 42 50 96 110 116 162 168 182 228 236 246 272 278	-444836223558
STPT(10)	1912827842709591161	0 2 6 8 48 50 90 92 96 98	-388010290968
TPT(14)	1912827900971479577	0 2 24 26 72 74 114 116 120 122 150 152 192 194	-329748402552
SPT(16)	1912828076829230569	0 10 30 54 78 84 88 154 348 414 418 424 448 472 492 502	-153890651560
SPT(16)	1912828262461519189	0 72 78 90 142 168 274 304 348 378 484 510 562 574 580 652	31741637060
SPT(13)	1912828334180873209	0 18 60 78 84 90 144 198 204 210 228 270 288	103460991080
TPT(14)	1912828518750640787	0 2 72 74 84 86 132 134 240 242 282 284 294 296	288030758658
STPT(10)	1912829067110506817	0 2 24 26 42 44 60 62 84 86	836390624688
SPT(16)	1912829197242084929	0 12 14 38 78 80 114 140 162 188 222 224 264 288 290 302	966522202800