Prime p₀= 1288599663420703589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 88 2 34 2 10 2 10 2 (?)
a_n: 0 2 72 74 132 134 222 224 258 260 270 272 282 284
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: 284
Found by: =Lupus=
db: batch=77, k=14, 70 58 88 34 10 10

SPT(13)	1288597608086113447	0 90 132 150 156 192 246 300 336 342 360 402 492	-2055334590142
TPT(14)	1288597791988436021	0 2 156 158 180 182 198 200 210 212 330 332 336 338	-1871432267568
SPT(16)	1288597991871809677	0 10 34 76 84 100 102 114 232 244 246 262 270 312 336 346	-1671548893912
SPT(16)	1288598082738920873	0 38 44 98 140 164 170 174 230 234 240 264 306 360 366 404	-1580681782716
SPT(16)	1288598604604398973	0 4 6 28 48 54 78 106 138 166 190 196 216 238 240 244	-1058816304616
STPT(10)	1288599539265509069	0 2 18 20 30 32 42 44 60 62	-124155194520
SPT(18)	1288600478498653487	0 44 60 170 200 264 294 300 384 446 530 536 566 630 660 770 786 830	815077949898
STPT(10)	1288600479319079579	0 2 78 80 120 122 162 164 240 242	815898375990
SPT(16)	1288601379895618727	0 12 122 170 212 222 224 234 242 252 254 264 306 354 464 476	1716474915138
TPT(14)	1288601669364852299	0 2 42 44 78 80 90 92 132 134 198 200 288 290	2005944148710
SPT(18)	1288601739805093289	0 32 104 108 140 192 228 234 240 242 248 254 290 342 374 378 450 482	2076384389700