Prime p₀= 1910726800977199967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 40 2 34 2 52 2 4 2 (?)
a_n: 0 2 24 26 102 104 144 146 180 182 234 236 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 22 76 40 34 52 4

STPT(10)	1910725968168547631	0 2 6 8 48 50 90 92 96 98	-832808652336
STPT(10)	1910726123227680347	0 2 30 32 42 44 54 56 84 86	-677749519620
SPT(16)	1910726138814441727	0 4 16 70 72 106 120 126 130 136 150 184 186 240 252 256	-662162758240
SPT(16)	1910726516324021419	0 4 18 60 88 90 112 322 360 570 592 594 622 664 678 682	-284653178548
SPT(16)	1910726551558015333	0 36 58 64 76 114 120 126 178 184 190 228 240 246 268 304	-249419184634
STPT(10)	1910726715028160801	0 2 36 38 78 80 120 122 156 158	-85949039166
SPT(16)	1910727147488485099	0 28 78 100 102 130 142 168 232 258 270 298 300 322 372 400	346511285132
SPT(16)	1910727175565615117	0 44 74 86 126 132 144 156 170 182 194 200 240 252 282 326	374588415150
STPT(10)	1910727278352938207	0 2 30 32 42 44 54 56 84 86	477375738240
STPT(10)	1910727370343685041	0 2 30 32 78 80 126 128 156 158	569366485074
SPT(18)	1910727436022607599	0 8 42 248 258 278 300 302 320 330 348 350 372 392 402 608 642 650	635045407632