Prime p₀= 2384644584248159291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 78 80 90 92 120 122 126 128 156 158 198 200
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: 200
Found by: ChUcK
db: batch=81, k=14, 76 10 28 4 28 40

SPT(16)	2384643729363837127	0 16 36 64 72 76 82 90 106 114 120 124 132 160 180 196	-854884322164
SPT(16)	2384643813919004437	0 30 42 64 106 120 132 142 174 184 196 210 252 274 286 316	-770329154854
SPT(16)	2384643957967292297	0 12 66 92 96 132 146 150 152 156 170 206 210 236 290 302	-626280866994
SPT(16)	2384644037742002137	0 6 12 22 24 52 82 136 180 234 264 292 294 304 310 316	-546506157154
SPT(16)	2384644075348820149	0 30 34 54 82 124 132 174 208 250 258 300 328 348 352 382	-508899339142
STPT(10)	2384644285595770337	0 2 42 44 72 74 102 104 144 146	-298652388954
TPT(14)	2384644745540818127	0 2 90 92 210 212 234 236 264 266 300 302 342 344	161292658836
TPT(14)	2384644772019495197	0 2 42 44 84 86 120 122 132 134 174 176 252 254	187771335906
SPT(18)	2384645451639678841	0 42 48 52 78 102 108 118 130 168 180 190 196 220 246 250 256 298	867391519550
SPT(16)	2384645675090397077	0 6 62 84 90 102 120 126 140 146 164 176 182 204 260 266	1090842237786
SPT(16)	2384645792646842701	0 130 148 168 196 328 330 366 370 406 408 540 568 588 606 736	1208398683410