Prime p₀= 1945103722109071157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 52 2 16 2 136 2 28 2 (?)
a_n: 0 2 12 14 30 32 84 86 102 104 240 242 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 10 16 52 16 136 28

TPT(14)	1945102899698939087	0 2 30 32 72 74 90 92 282 284 312 314 330 332	-822410132070
STPT(10)	1945102930128878417	0 2 60 62 72 74 84 86 144 146	-791980192740
SPT(16)	1945103182047207701	0 8 78 102 120 128 176 180 308 312 360 368 386 410 480 488	-540061863456
SPT(16)	1945103185667495603	0 14 50 84 128 144 180 200 204 224 260 276 320 354 390 404	-536441575554
STPT(10)	1945103446642296041	0 2 6 8 48 50 90 92 96 98	-275466775116
STPT(10)	1945103599238076419	0 2 18 20 30 32 42 44 60 62	-122870994738
SPT(16)	1945103743653386621	0 56 60 86 116 128 138 158 210 230 240 252 282 308 312 368	21544315464
SPT(16)	1945103995040793343	0 16 18 30 58 94 96 138 196 238 240 276 304 316 318 334	272931722186
STPT(10)	1945104226973742389	0 2 18 20 60 62 102 104 120 122	504864671232
STPT(10)	1945104592120001831	0 2 36 38 78 80 120 122 156 158	870010930674
SPT(16)	1945104711750733147	0 40 54 60 76 90 154 156 184 186 250 264 280 286 300 340	989641661990