Prime p₀= 1949505735354810341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 208 2 28 2 28 2 40 2 34 2 (?)
a_n: 0 2 18 20 228 230 258 260 288 290 330 332 366 368
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: 368
Found by: JonS
db: batch=80, k=14, 16 208 28 28 40 34

SPT(16)	1949504532378196447	0 34 112 132 142 156 174 184 222 232 250 264 274 294 372 406	-1202976613894
STPT(10)	1949505055536182201	0 2 30 32 78 80 126 128 156 158	-679818628140
STPT(10)	1949505141814440167	0 2 24 26 42 44 60 62 84 86	-593540370174
SPT(16)	1949505359467882031	0 12 72 90 96 110 126 180 188 242 258 272 278 296 356 368	-375886928310
SPT(16)	1949505394703719397	0 72 80 114 182 194 206 212 234 240 252 264 332 366 374 446	-340651090944
SPT(16)	1949505724200526837	0 10 30 34 42 94 126 132 154 160 192 244 252 256 276 286	-11154283504
SPT(16)	1949506075380453061	0 6 66 76 90 132 150 190 252 292 310 352 366 376 436 442	340025642720
SPT(16)	1949506133002165609	0 28 42 54 58 72 82 100 102 120 130 144 148 160 174 202	397647355268
SPT(16)	1949506483249226591	0 18 30 42 120 138 152 162 176 186 200 218 296 308 320 338	747894416250
SPT(16)	1949506501225708709	0 18 44 60 74 110 162 204 218 260 312 348 362 378 404 422	765870898368
SPT(16)	1949507187979084939	0 10 24 84 88 144 168 190 192 214 238 294 298 358 372 382	1452624274598