Prime p₀= 2113401155263157531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 28 2 88 2 22 2 16 2 (?)
a_n: 0 2 90 92 126 128 156 158 246 248 270 272 288 290
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: 290
Found by: vaughan
db: batch=80, k=14, 88 34 28 88 22 16

STPT(10)	2113399443962806001	0 2 36 38 78 80 120 122 156 158	-1711300351530
STPT(10)	2113399460574758897	0 2 30 32 72 74 114 116 144 146	-1694688398634
SPT(16)	2113399766402704187	0 56 62 80 90 102 116 182 234 300 314 326 336 354 360 416	-1388860453344
STPT(12)	2113399797129176189	0 2 30 32 60 62 210 212 240 242 270 272	-1358133981342
SPT(16)	2113400264538220733	0 14 80 84 110 126 138 164 210 236 248 264 290 294 360 374	-890724936798
SPT(16)	2113400748681961901	0 12 18 26 38 60 128 152 156 180 248 270 282 290 296 308	-406581195630
STPT(10)	2113401508862684639	0 2 18 20 30 32 42 44 60 62	353599527108
SPT(16)	2113401606371565907	0 24 90 94 102 112 124 202 222 300 312 322 330 334 400 424	451108408376
STPT(10)	2113401796825338359	0 2 18 20 30 32 42 44 60 62	641562180828
SPT(16)	2113402252539311417	0 6 24 80 92 102 120 144 182 206 224 234 246 302 320 326	1097276153886
SPT(16)	2113402786678518043	0 60 66 78 90 118 130 144 220 234 246 274 286 298 304 364	1631415360512