Prime p₀= 2687944364435068241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 10 2 10 2 76 2 (?)
a_n: 0 2 66 68 96 98 126 128 138 140 150 152 228 230
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: 230
Found by: biodoc
db: batch=82, k=14, 64 28 28 10 10 76

SPT(16)	2687943421876127123	0 8 18 20 30 56 60 66 98 104 108 134 144 146 156 164	-942558941118
SPT(16)	2687943501233173399	0 30 40 130 178 208 220 228 250 258 270 300 348 438 448 478	-863201894842
STPT(10)	2687943574411113869	0 2 12 14 90 92 168 170 180 182	-790023954372
SPT(16)	2687943864421613549	0 90 104 120 180 204 212 222 332 342 350 374 434 450 464 554	-500013454692
STPT(10)	2687944238705972999	0 2 18 20 30 32 42 44 60 62	-125729095242
SPT(16)	2687944261397929099	0 18 30 40 54 108 130 174 178 222 244 298 312 322 334 352	-103037139142
SPT(16)	2687944412316011413	0 24 28 34 48 60 94 96 118 120 154 166 180 186 190 214	47880943172
SPT(16)	2687945175244632547	0 34 72 76 114 184 214 226 270 282 312 382 420 424 462 496	810809564306
STPT(10)	2687945402173055417	0 2 30 32 42 44 54 56 84 86	1037737987176
SPT(16)	2687945462677954007	0 14 36 60 62 74 90 96 140 146 162 174 176 200 222 236	1098242885766
SPT(16)	2687945780049580511	0 80 126 128 180 198 206 240 266 300 308 326 378 380 426 506	1415614512270