Prime p₀= 2808407751708515189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 22 2 58 2 64 2 28 2 (?)
a_n: 0 2 30 32 78 80 102 104 162 164 228 230 258 260
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: 260
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 28 46 22 58 64 28

SPT(16)	2808406564601830691	0 2 6 36 50 72 90 108 230 248 266 288 302 332 336 338	-1187106684498
STPT(10)	2808406570385091461	0 2 36 38 78 80 120 122 156 158	-1181323423728
STPT(10)	2808406783568555789	0 2 42 44 90 92 138 140 180 182	-968139959400
SPT(18)	2808406857615481093	0 4 34 58 114 126 166 174 186 208 220 228 268 280 336 360 390 394	-894093034096
SPT(16)	2808407099159432957	0 14 54 104 110 240 252 264 272 284 296 426 432 482 522 536	-652549082232
SPT(16)	2808407323313053697	0 2 86 104 114 134 174 176 180 182 222 242 252 270 354 356	-428395461492
SPT(16)	2808407954247526811	0 12 26 36 38 50 78 162 206 290 318 330 332 342 356 368	202539011622
SPT(16)	2808408143447782697	0 30 42 44 50 84 92 132 134 174 182 216 222 224 236 266	391739267508
SPT(16)	2808408422048767261	0 40 72 120 132 138 190 192 208 210 262 268 280 328 360 400	670340252072
STPT(10)	2808408476626162757	0 2 12 14 42 44 72 74 84 86	724917647568
SPT(16)	2808408685266152239	0 10 40 82 102 124 144 162 220 238 258 280 300 342 372 382	933557637050