Prime p₀= 2396043956393425979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 64 2 10 2 16 2 (?)
a_n: 0 2 12 14 18 20 102 104 168 170 180 182 198 200
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: 200
Found by: JonS
db: batch=81, k=14, 10 4 82 64 10 16

SPT(16)	2396041826856245791	0 16 70 100 178 198 202 222 256 276 280 300 378 408 462 478	-2129537180188
SPT(18)	2396041889055693611	0 6 20 32 50 96 140 150 176 192 218 228 272 318 336 348 362 368	-2067337732368
STPT(10)	2396042078109880049	0 2 12 14 90 92 168 170 180 182	-1878283545930
SPT(16)	2396042115458700721	0 22 52 60 70 96 102 138 220 256 262 288 298 306 336 358	-1840934725258
STPT(10)	2396042908615221161	0 2 6 8 18 20 30 32 36 38	-1047778204818
SPT(16)	2396043265183579591	0 16 46 82 90 132 196 228 280 312 376 418 426 462 492 508	-691209846388
SPT(16)	2396044103711758369	0 34 60 70 78 88 154 174 184 204 270 280 288 298 324 358	147318332390
STPT(10)	2396044140757192967	0 2 30 32 42 44 54 56 84 86	184363766988
SPT(16)	2396044402916029441	0 42 70 76 90 156 162 192 196 226 232 298 312 318 346 388	446522603462
SPT(16)	2396044842996538847	0 14 36 42 66 86 92 116 120 144 150 170 194 200 222 236	886603112868
STPT(10)	2396044875049924139	0 2 18 20 30 32 42 44 60 62	918656498160