Prime p₀= 2404893683058190739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 4 2 262 2 58 2 (?)
a_n: 0 2 18 20 30 32 42 44 48 50 312 314 372 374
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: Josemi
db: batch=82, k=14, 16 10 10 4 262 58

SPT(16)	2404892909694929821	0 10 18 30 52 70 82 112 156 186 198 216 238 250 258 268	-773363260918
SPT(16)	2404892951362383721	0 10 12 16 52 70 136 142 150 156 222 240 276 280 282 292	-731695807018
SPT(16)	2404893116725068127	0 30 34 42 46 54 82 90 166 174 202 210 214 222 226 256	-566333122612
STPT(10)	2404893244142542301	0 2 30 32 78 80 126 128 156 158	-438915648438
SPT(16)	2404893451498050803	0 30 50 98 134 138 146 168 176 198 206 210 246 294 314 344	-231560139936
STPT(10)	2404893540205427891	0 2 6 8 48 50 90 92 96 98	-142852762848
STPT(10)	2404894219333142519	0 2 48 50 90 92 132 134 180 182	536274951780
SPT(16)	2404894339427008123	0 4 58 78 88 90 120 136 168 184 214 216 226 246 300 304	656368817384
SPT(16)	2404894475163359051	0 8 42 108 116 120 122 132 176 186 188 192 200 266 300 308	792105168312
STPT(10)	2404894529867737949	0 2 18 20 30 32 42 44 60 62	846809547210
STPT(10)	2404894759134161867	0 2 24 26 42 44 60 62 84 86	1076075971128