Prime p₀= 2264930551358985479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 304 2 40 2 46 2 82 2 (?)
a_n: 0 2 12 14 72 74 378 380 420 422 468 470 552 554
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: 554
Found by: Orange Kid
db: batch=81, k=14, 10 58 304 40 46 82

SPT(16)	2264928957885633353	0 6 20 98 114 186 198 240 254 296 308 380 396 474 488 494	-1593473352126
STPT(10)	2264929083702605231	0 2 6 8 18 20 30 32 36 38	-1467656380248
SPT(16)	2264929287055501681	0 30 40 70 72 82 102 138 172 208 228 238 240 270 280 310	-1264303483798
STPT(10)	2264929557707280437	0 2 30 32 42 44 54 56 84 86	-993651705042
SPT(16)	2264929577498933953	0 28 54 60 130 138 174 178 216 220 256 264 334 340 366 394	-973860051526
SPT(16)	2264930528480316967	0 6 34 72 100 156 174 196 300 322 340 396 424 462 490 496	-22878668512
STPT(12)	2264930566268655119	0 2 30 32 42 44 90 92 102 104 132 134	14909669640
SPT(16)	2264930621839298473	0 4 54 76 84 130 154 156 298 300 324 370 378 400 450 454	70480312994
STPT(10)	2264930847815465507	0 2 30 32 42 44 54 56 84 86	296456480028
SPT(16)	2264931028144242869	0 54 80 144 152 192 224 228 314 318 350 390 398 462 488 542	476785257390
SPT(16)	2264931349026341977	0 34 42 60 112 126 142 150 196 204 220 234 286 304 312 346	797667356498