Prime p₀= 1907783432881351097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 22 2 28 2 58 2 46 2 (?)
a_n: 0 2 72 74 90 92 114 116 144 146 204 206 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 70 16 22 28 58 46

SPT(16)	1907781747182795501	0 2 30 66 78 86 168 210 218 260 342 350 362 398 426 428	-1685698555596
STPT(10)	1907782080742944137	0 2 30 32 42 44 54 56 84 86	-1352138406960
STPT(10)	1907782446285963431	0 2 30 32 60 62 90 92 120 122	-986595387666
SPT(16)	1907782572804468947	0 32 42 104 110 114 132 140 156 164 182 186 192 254 264 296	-860076882150
STPT(10)	1907782810084800497	0 2 30 32 60 62 90 92 120 122	-622796550600
SPT(16)	1907782936977798971	0 56 62 80 122 126 138 140 198 200 212 216 258 276 282 338	-495903552126
SPT(16)	1907783677590917101	0 10 40 78 118 120 150 162 196 208 238 240 280 318 348 358	244709566004
STPT(10)	1907783797427444141	0 2 6 8 18 20 30 32 36 38	364546093044
SPT(16)	1907783837421740101	0 10 18 40 52 120 148 160 180 192 220 288 300 322 330 340	404540389004
STPT(10)	1907783982370303319	0 2 18 20 60 62 102 104 120 122	549488952222
STPT(10)	1907784139542214931	0 2 6 8 48 50 90 92 96 98	706660863834