Prime p₀= 1087298064556902467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 34 2 100 2 10 2 (?)
a_n: 0 2 24 26 42 44 84 86 120 122 222 224 234 236
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: 236
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 22 16 40 34 100 10

SPT(16)	1087297055652147121	0 6 12 28 42 48 70 82 96 108 130 136 150 166 172 178	-1008904755346
STPT(10)	1087297187536507271	0 2 30 32 78 80 126 128 156 158	-877020395196
SPT(16)	1087297700740491049	0 18 24 28 34 52 60 78 94 112 120 138 144 148 154 172	-363816411418
SPT(16)	1087297748879260729	0 28 30 40 84 130 142 184 198 240 252 298 342 352 354 382	-315677641738
SPT(16)	1087297973203994603	0 6 36 38 60 108 174 176 198 200 266 314 336 338 368 374	-91352907864
TPT(14)	1087298026444930061	0 2 156 158 318 320 390 392 420 422 438 440 546 548	-38111972406
TPT(14)	1087298209914638801	0 2 30 32 48 50 120 122 156 158 198 200 258 260	145357736334
STPT(10)	1087298277288154829	0 2 18 20 30 32 42 44 60 62	212731252362
SPT(16)	1087298456154880261	0 22 88 90 102 132 136 138 160 162 166 196 208 210 276 298	391597977794
SPT(16)	1087298502373858009	0 22 30 42 114 120 160 180 184 204 244 250 322 334 342 364	437816955542
STPT(10)	1087298564838767399	0 2 18 20 30 32 42 44 60 62	500281864932