Prime p₀= 1623439448357178797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 52 2 106 2 76 2 (?)
a_n: 0 2 42 44 72 74 90 92 144 146 252 254 330 332
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: 332
Found by: biodoc
db: batch=78, k=14, 40 28 16 52 106 76

TPT(14)	1623438053284644731	0 2 138 140 156 158 246 248 330 332 366 368 378 380	-1395072534066
SPT(16)	1623438716524509959	0 2 18 48 68 98 114 132 140 158 174 204 224 254 270 272	-731832668838
SPT(16)	1623438719889544289	0 20 32 72 138 140 144 222 260 338 342 344 410 450 462 482	-728467634508
SPT(16)	1623438834193960019	0 32 42 74 90 92 98 108 134 144 150 152 168 200 210 242	-614163218778
STPT(10)	1623438972557158121	0 2 30 32 78 80 126 128 156 158	-475800020676
SPT(16)	1623439189377565177	0 4 22 30 52 66 114 120 226 232 280 294 316 324 342 346	-258979613620
STPT(10)	1623439557616232537	0 2 30 32 42 44 54 56 84 86	109259053740
SPT(20)	1623439956696574763	0 38 48 108 134 140 200 204 260 336 368 444 500 504 564 570 596 656 666 704	508339395966
SPT(16)	1623439999089931069	0 28 40 54 90 154 168 180 232 244 258 322 358 372 384 412	550732752272
STPT(10)	1623440681672765321	0 2 36 38 78 80 120 122 156 158	1233315586524
SPT(16)	1623440727001121213	0 6 26 66 104 110 146 164 180 198 234 240 278 318 338 344	1278643942416