Prime p₀= 2283909230360319257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 28 2 28 2 28 2 (?)
a_n: 0 2 12 14 54 56 90 92 120 122 150 152 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 10 40 34 28 28 28

STPT(10)	2283908529706785659	0 2 18 20 30 32 42 44 60 62	-700653533598
SPT(16)	2283908621997507643	0 40 48 54 78 136 180 190 264 274 318 376 400 406 414 454	-608362811614
SPT(16)	2283908914263310031	0 60 68 78 90 110 140 152 168 180 210 230 242 252 260 320	-316097009226
TPT(14)	2283908953016472407	0 2 84 86 150 152 162 164 264 266 330 332 390 392	-277343846850
SPT(16)	2283908969751654247	0 4 22 46 70 72 94 136 210 252 274 276 300 324 342 346	-260608665010
SPT(16)	2283908972565921433	0 10 40 66 78 90 118 120 124 126 154 166 178 204 234 244	-257794397824
STPT(10)	2283909261980858189	0 2 18 20 30 32 42 44 60 62	31620538932
SPT(16)	2283909272546556367	0 10 72 76 142 154 172 202 234 264 282 294 360 364 426 436	42186237110
SPT(16)	2283909620676559753	0 10 66 78 148 174 184 190 204 210 220 246 316 328 384 394	390316240496
STPT(10)	2283909696002479817	0 2 24 26 42 44 60 62 84 86	465642160560
SPT(16)	2283909706828491887	0 6 32 36 66 80 150 176 216 242 312 326 356 360 386 392	476468172630