Prime p₀= 2005799450918831609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 88 2 40 2 34 2 22 2 (?)
a_n: 0 2 30 32 60 62 150 152 192 194 228 230 252 254
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=80, k=14, 28 28 88 40 34 22

SPT(16)	2005798123622114033	0 18 50 60 98 120 128 186 188 246 254 276 314 324 356 374	-1327296717576
STPT(10)	2005798143981378359	0 2 18 20 30 32 42 44 60 62	-1306937453250
SPT(16)	2005798230395126471	0 12 36 50 152 176 188 222 296 330 342 366 468 482 506 518	-1220523705138
STPT(12)	2005798357151639327	0 2 12 14 30 32 114 116 132 134 144 146	-1093767192282
STPT(12)	2005798389531902969	0 2 12 14 42 44 48 50 78 80 90 92	-1061386928640
TPT(14)	2005798389531902969	0 2 12 14 42 44 48 50 78 80 90 92 150 152	-1061386928640
SPT(16)	2005799506445318803	0 18 30 66 76 84 90 94 150 154 160 168 178 214 226 244	55526487194
STPT(10)	2005799507280531647	0 2 24 26 42 44 60 62 84 86	56361700038
SPT(16)	2005799568931055969	0 2 12 18 32 78 84 92 120 128 134 180 194 200 210 212	118012224360
TPT(14)	2005800117507604721	0 2 18 20 78 80 90 92 186 188 210 212 216 218	666588773112
SPT(16)	2005800246798388367	0 26 74 84 90 150 152 174 242 264 266 326 332 342 390 416	795879556758