Prime p₀= 2494216813956148049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 148 2 22 2 4 2 70 2 40 2 (?)
a_n: 0 2 18 20 168 170 192 194 198 200 270 272 312 314
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: 314
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 16 148 22 4 70 40

STPT(12)	2494214295853057889	0 2 12 14 72 74 150 152 210 212 222 224	-2518103090160
STPT(10)	2494214984244305207	0 2 12 14 42 44 72 74 84 86	-1829711842842
SPT(16)	2494215209816598029	0 12 54 110 114 164 188 198 224 234 258 308 312 368 410 422	-1604139550020
SPT(16)	2494215430521621629	0 8 20 30 50 54 98 180 212 294 338 342 362 372 384 392	-1383434526420
SPT(16)	2494216589613575731	0 10 28 78 100 108 130 142 156 168 190 198 220 270 288 298	-224342572318
STPT(10)	2494216679624558027	0 2 42 44 72 74 102 104 144 146	-134331590022
STPT(10)	2494216835749200269	0 2 78 80 120 122 162 164 240 242	21793052220
TPT(14)	2494218278222304461	0 2 18 20 60 62 90 92 168 170 216 218 300 302	1464266156412
STPT(10)	2494218302041311401	0 2 6 8 48 50 90 92 96 98	1488085163352
SPT(16)	2494218381549863387	0 2 30 56 60 84 86 96 170 180 182 206 210 236 264 266	1567593715338
STPT(10)	2494218912582640457	0 2 30 32 42 44 54 56 84 86	2098626492408