Prime p₀= 1172838103289781869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 58 2 100 2 76 2 52 2 (?)
a_n: 0 2 12 14 48 50 108 110 210 212 288 290 342 344
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: 344
Found by: xii5ku
db: batch=77, k=14, 10 34 58 100 76 52

SPT(16)	1172835833367730997	0 6 50 66 110 122 176 230 282 336 390 402 446 462 506 512	-2269922050872
SPT(16)	1172835834540543161	0 2 92 156 162 192 206 290 468 552 566 596 602 666 756 758	-2268749238708
SPT(16)	1172836078052418001	0 40 60 82 96 106 166 190 228 252 312 322 336 358 378 418	-2025237363868
STPT(10)	1172837310296688857	0 2 60 62 72 74 84 86 144 146	-792993093012
SPT(16)	1172837380758120767	0 42 104 126 140 144 176 222 224 270 302 306 320 342 404 446	-722531661102
STPT(10)	1172837471346557459	0 2 18 20 60 62 102 104 120 122	-631943224410
SPT(16)	1172838197173808323	0 28 90 124 148 160 168 210 244 286 294 306 330 364 426 454	93884026454
STPT(10)	1172838678166090457	0 2 30 32 42 44 54 56 84 86	574876308588
SPT(16)	1172838896996570737	0 16 52 90 96 150 154 180 196 222 226 280 286 324 360 376	793706788868
SPT(16)	1172839213366852859	0 20 48 60 90 104 188 192 200 204 288 302 332 344 372 392	1110077070990
SPT(16)	1172839856128193791	0 6 18 76 88 132 142 150 178 186 196 240 252 310 322 328	1752838411922