Prime p₀= 2579766968190715349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 94 2 112 2 94 2 (?)
a_n: 0 2 48 50 60 62 102 104 198 200 312 314 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 46 10 40 94 112 94

SPT(16)	2579765146536796177	0 22 40 72 130 150 180 186 190 196 226 246 304 336 354 376	-1821653919172
SPT(16)	2579765306577036197	0 6 20 72 86 96 176 236 246 306 386 396 410 462 476 482	-1661613679152
SPT(16)	2579766300508962701	0 8 12 50 110 140 146 152 156 162 168 198 258 296 300 308	-667681752648
SPT(16)	2579766713877580559	0 8 30 72 78 98 134 138 164 168 204 224 230 272 294 302	-254313134790
STPT(10)	2579766780994199009	0 2 12 14 90 92 168 170 180 182	-187196516340
SPT(16)	2579766852083741449	0 10 28 72 84 90 100 112 180 192 202 208 220 264 282 292	-116106973900
SPT(16)	2579767431764624671	0 16 42 58 78 82 100 138 220 258 276 280 300 316 342 358	463573909322
TPT(14)	2579767472802901961	0 2 138 140 150 152 180 182 240 242 360 362 378 380	504612186612
STPT(10)	2579768072924057831	0 2 6 8 48 50 90 92 96 98	1104733342482
SPT(16)	2579768076610125623	0 54 56 68 98 110 230 248 276 294 414 426 456 468 470 524	1108419410274
SPT(16)	2579768141682027239	0 110 128 138 140 170 210 224 228 242 282 312 314 324 342 452	1173491311890