Prime p₀= 2426289775786797959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 88 2 106 2 70 2 28 2 118 2 (?)
a_n: 0 2 120 122 210 212 318 320 390 392 420 422 540 542
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: 542
Found by: JayPi
db: batch=82, k=14, 118 88 106 70 28 118

SPT(16)	2426288639946689753	0 6 8 74 114 126 140 156 158 174 188 200 240 306 308 314	-1135840108206
SPT(16)	2426288667524336749	0 4 88 94 102 138 150 154 168 172 184 220 228 234 318 322	-1108262461210
SPT(16)	2426288917550235817	0 4 10 30 60 94 100 102 112 114 120 154 184 204 210 214	-858236562142
SPT(16)	2426289104355516931	0 16 76 90 102 166 186 196 282 292 312 376 388 402 462 478	-671431281028
TPT(14)	2426289152339137901	0 2 6 8 30 32 126 128 156 158 186 188 210 212	-623447660058
TPT(14)	2426289520183930991	0 2 30 32 186 188 228 230 330 332 366 368 426 428	-255602866968
SPT(16)	2426289833746922557	0 10 30 40 96 112 120 154 192 226 234 250 306 316 336 346	57960124598
SPT(16)	2426290216573788889	0 18 114 142 148 172 198 228 364 394 420 444 450 478 574 592	440786990930
STPT(10)	2426290293852897629	0 2 48 50 150 152 252 254 300 302	518066099670
TPT(14)	2426290432052087609	0 2 72 74 138 140 180 182 192 194 222 224 378 380	656265289650
SPT(16)	2426290595777101877	0 20 26 66 90 120 126 132 140 146 152 182 206 246 252 272	819990303918