Prime p₀= 728692280010885011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 70 2 4 2 22 2 226 2 (?)
a_n: 0 2 6 8 48 50 120 122 126 128 150 152 378 380
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: 380
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 4 40 70 4 22 226

STPT(10)	728690575876789499	0 2 30 32 120 122 210 212 240 242	-1704134095512
STPT(10)	728690670357418031	0 2 6 8 48 50 90 92 96 98	-1609653466980
STPT(10)	728690780123836601	0 2 36 38 78 80 120 122 156 158	-1499887048410
SPT(16)	728691157754713441	0 58 60 70 72 100 126 148 270 292 318 346 348 358 360 418	-1122256171570
SPT(16)	728692154196146389	0 82 112 132 138 168 190 238 342 390 412 442 448 468 498 580	-125814738622
SPT(16)	728692211683222481	0 36 62 92 102 140 186 192 266 272 318 356 366 396 422 458	-68327662530
TPT(14)	728692362106673969	0 2 12 14 30 32 90 92 180 182 222 224 252 254	82095788958
SPT(16)	728692799183684609	0 2 32 54 92 102 128 170 192 234 260 270 308 330 360 362	519172799598
SPT(16)	728692904838068281	0 18 46 48 66 70 90 130 138 178 198 202 220 222 250 268	624827183270
SPT(16)	728692973016315319	0 70 82 94 220 264 270 288 304 322 328 372 498 510 522 592	693005430308
STPT(10)	728693161068175361	0 2 36 38 78 80 120 122 156 158	881057290350