Prime p₀= 2248921347587265677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 40 2 34 2 28 2 10 2 (?)
a_n: 0 2 72 74 132 134 174 176 210 212 240 242 252 254
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: 254
Found by: Orange Kid
db: batch=81, k=14, 70 58 40 34 28 10

SPT(16)	2248920251102802559	0 18 58 72 78 100 154 168 214 228 282 304 310 324 364 382	-1096484463118
SPT(16)	2248920908481057827	0 32 74 86 126 134 156 176 240 260 282 290 330 342 384 416	-439106207850
STPT(10)	2248921066840340441	0 2 6 8 48 50 90 92 96 98	-280746925236
STPT(10)	2248921175382175937	0 2 30 32 42 44 54 56 84 86	-172205089740
SPT(16)	2248921250596420877	0 12 14 44 60 74 96 114 122 140 162 176 192 222 224 236	-96990844800
SPT(16)	2248921289075653261	0 6 42 112 142 156 160 172 180 192 196 210 240 310 346 352	-58511612416
SPT(16)	2248921473517751701	0 30 42 58 60 120 138 160 168 190 208 268 270 286 298 328	125930486024
SPT(16)	2248921536964774129	0 30 112 120 162 178 190 222 250 282 294 310 352 360 442 472	189377508452
SPT(16)	2248921726507301039	0 8 18 50 62 80 138 152 258 272 330 348 360 392 402 410	378920035362
SPT(16)	2248921931945985017	0 12 36 66 80 122 144 152 234 242 264 306 320 350 374 386	584358719340
STPT(10)	2248922511521551049	0 2 18 20 30 32 42 44 60 62	1163934285372