Prime p₀= 2032421203468780307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 178 2 46 2 10 2 34 2 40 2 (?)
a_n: 0 2 54 56 234 236 282 284 294 296 330 332 372 374
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: 374
Found by: eclipse99
db: batch=80, k=14, 52 178 46 10 34 40

SPT(16)	2032419550473084077	0 32 90 110 140 174 180 200 204 224 230 264 294 314 372 404	-1652995696230
STPT(10)	2032419616109799701	0 2 36 38 78 80 120 122 156 158	-1587358980606
STPT(10)	2032420160848792457	0 2 30 32 42 44 54 56 84 86	-1042619987850
TPT(14)	2032420498224909929	0 2 48 50 90 92 108 110 210 212 288 290 300 302	-705243870378
STPT(10)	2032420681962160277	0 2 60 62 72 74 84 86 144 146	-521506620030
SPT(16)	2032421129868035713	0 36 48 108 120 178 196 214 300 318 336 394 406 466 478 514	-73600744594
STPT(10)	2032421268085116581	0 2 30 32 78 80 126 128 156 158	64616336274
STPT(10)	2032421363112062717	0 2 54 56 132 134 210 212 264 266	159643282410
TPT(14)	2032421547596776067	0 2 42 44 90 92 114 116 144 146 222 224 240 242	344127995760
STPT(10)	2032422596117433929	0 2 48 50 90 92 132 134 180 182	1392648653622
SPT(16)	2032422688464127363	0 24 28 40 54 60 88 144 160 216 244 250 264 276 280 304	1484995347056