Prime p₀= 2119338119768661689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 16 2 76 2 28 2 22 2 (?)
a_n: 0 2 18 20 102 104 120 122 198 200 228 230 252 254
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, 16 82 16 76 28 22

STPT(10)	2119335990858936929	0 2 48 50 60 62 72 74 120 122	-2128909724760
SPT(16)	2119336389793149773	0 78 80 108 116 120 164 168 176 180 224 228 236 264 266 344	-1729975511916
STPT(10)	2119336589056286021	0 2 36 38 78 80 120 122 156 158	-1530712375668
STPT(10)	2119336962265686827	0 2 42 44 72 74 102 104 144 146	-1157502974862
STPT(10)	2119337879954648159	0 2 30 32 120 122 210 212 240 242	-239814013530
SPT(16)	2119337962975889587	0 16 42 54 94 100 114 154 192 232 246 252 292 304 330 346	-156792772102
SPT(16)	2119338224321630773	0 30 48 84 108 118 154 216 238 300 336 346 370 406 424 454	104552969084
STPT(10)	2119338342507134867	0 2 24 26 42 44 60 62 84 86	222738473178
STPT(10)	2119338378789992387	0 2 30 32 42 44 54 56 84 86	259021330698
SPT(16)	2119338394023499331	0 26 48 68 90 132 140 158 210 228 236 278 300 320 342 368	274254837642
SPT(16)	2119338610209704251	0 16 78 88 112 166 198 250 288 340 372 426 450 460 522 538	490441042562