Prime p₀= 2378023386545779391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 106 2 148 2 58 2 28 2 10 2 (?)
a_n: 0 2 18 20 126 128 276 278 336 338 366 368 378 380
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=81, k=14, 16 106 148 58 28 10

SPT(16)	2378021831071372777	0 42 90 114 120 180 210 214 240 244 274 334 340 364 412 454	-1555474406614
SPT(16)	2378022086279284663	0 66 70 88 144 148 150 166 168 184 186 190 246 264 268 334	-1300266494728
STPT(10)	2378022179296549517	0 2 30 32 42 44 54 56 84 86	-1207249229874
TPT(14)	2378022822649880759	0 2 78 80 90 92 108 110 132 134 150 152 168 170	-563895898632
SPT(16)	2378023045255040879	0 12 38 54 150 152 168 170 192 194 210 212 308 324 350 362	-341290738512
SPT(16)	2378023293407153971	0 40 42 60 76 126 130 138 160 168 172 222 238 256 258 298	-93138625420
SPT(16)	2378023390266255439	0 4 24 42 94 102 114 144 148 178 190 198 250 268 288 292	3720476048
STPT(10)	2378023899182918351	0 2 30 32 78 80 126 128 156 158	512637138960
STPT(12)	2378023958513649497	0 2 30 32 42 44 60 62 72 74 102 104	571967870106
SPT(16)	2378024534319538367	0 6 32 102 126 146 170 204 362 396 420 440 464 534 560 566	1147773758976
SPT(16)	2378025323532041719	0 18 40 42 60 64 120 130 222 232 288 292 310 312 334 352	1936986262328