Prime p₀= 2611262458762584041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 58 2 4 2 28 2 130 2 (?)
a_n: 0 2 30 32 60 62 120 122 126 128 156 158 288 290
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: 290
Found by: amargo133
db: batch=82, k=14, 28 28 58 4 28 130

SPT(16)	2611261437290642093	0 60 104 170 240 278 294 338 366 410 426 464 534 600 644 704	-1021471941948
STPT(10)	2611261548727104587	0 2 12 14 42 44 72 74 84 86	-910035479454
STPT(10)	2611261749925657457	0 2 30 32 72 74 114 116 144 146	-708836926584
SPT(16)	2611261916665906169	0 42 44 72 122 150 180 200 204 224 254 282 332 360 362 404	-542096677872
SPT(16)	2611261918514287289	0 30 42 98 114 138 140 194 198 252 254 278 294 350 362 392	-540248296752
SPT(16)	2611262204135890517	0 2 24 72 86 116 164 170 186 192 240 270 284 332 354 356	-254626693524
STPT(10)	2611262497191629249	0 2 48 50 90 92 132 134 180 182	38429045208
SPT(16)	2611262647198836563	0 8 18 48 50 56 60 66 308 314 318 324 326 356 366 374	188436252522
SPT(16)	2611262662489346623	0 24 30 36 90 118 130 136 168 174 186 214 268 274 280 304	203726762582
SPT(16)	2611262702503294867	0 4 24 60 136 144 174 196 234 256 286 294 370 406 426 430	243740710826
SPT(16)	2611262948100952573	0 4 36 46 54 114 156 186 208 238 280 340 348 358 390 394	489338368532