Prime p₀= 1919851601792445911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 148 2 70 2 28 2 4 2 (?)
a_n: 0 2 18 20 78 80 228 230 300 302 330 332 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 16 58 148 70 28 4

STPT(10)	1919850730919569499	0 2 18 20 60 62 102 104 120 122	-870872876412
SPT(16)	1919850854352215989	0 42 52 64 70 84 114 120 262 268 298 312 318 330 340 382	-747440229922
SPT(16)	1919850984261301123	0 28 48 60 70 88 96 114 130 148 156 174 184 196 216 244	-617531144788
TPT(14)	1919851191050847179	0 2 72 74 102 104 138 140 168 170 222 224 360 362	-410741598732
SPT(13)	1919851437351517751	0 12 30 60 72 78 120 162 168 180 210 228 240	-164440928160
SPT(16)	1919851481015034191	0 6 18 36 42 50 56 72 176 192 198 206 212 230 242 248	-120777411720
SPT(16)	1919851934292904273	0 4 46 106 120 160 198 208 246 256 294 334 348 408 450 454	332500458362
SPT(16)	1919852480805282581	0 8 98 120 218 246 272 276 302 306 332 360 458 480 570 578	879012836670
SPT(16)	1919852515942287341	0 6 20 32 42 56 122 150 158 186 252 266 276 288 302 308	914149841430
SPT(16)	1919852943216628249	0 4 12 60 78 84 90 100 102 112 118 124 142 190 198 202	1341424182338
SPT(16)	1919852976182361887	0 14 132 170 182 210 212 240 344 372 374 402 414 452 570 584	1374389915976