Prime p₀= 2398636748523913559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 34 2 70 2 16 2 40 2 (?)
a_n: 0 2 72 74 102 104 138 140 210 212 228 230 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 70 28 34 70 16 40

SPT(16)	2398634614710186929	0 62 72 74 104 128 170 180 242 252 294 318 348 350 360 422	-2133813726630
SPT(16)	2398634791962667897	0 4 6 30 42 72 90 114 172 196 214 244 256 280 282 286	-1956561245662
STPT(10)	2398635450286856327	0 2 30 32 42 44 54 56 84 86	-1298237057232
SPT(16)	2398635722916454157	0 2 14 44 90 140 174 180 224 230 264 314 360 390 402 404	-1025607459402
STPT(10)	2398635784006346231	0 2 6 8 48 50 90 92 96 98	-964517567328
SPT(16)	2398635931859522749	0 4 52 78 88 108 118 120 142 144 154 174 184 210 258 262	-816664390810
STPT(10)	2398636942418164697	0 2 60 62 72 74 84 86 144 146	193894251138
STPT(12)	2398637371233597029	0 2 18 20 42 44 48 50 72 74 90 92	622709683470
SPT(16)	2398637608841781851	0 48 56 60 66 68 126 186 230 290 348 350 356 360 368 416	860317868292
SPT(16)	2398637715496081427	0 12 14 32 60 90 114 132 224 242 266 296 324 342 344 356	966972167868
SPT(16)	2398637904688919141	0 42 50 80 108 138 176 182 216 222 260 290 318 348 356 398	1156165005582