Prime p₀= 2533749083819315567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 40 2 70 2 34 2 58 2 (?)
a_n: 0 2 30 32 60 62 102 104 174 176 210 212 270 272
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: 272
Found by: conf [MM]
db: batch=82, k=14, 28 28 40 70 34 58

SPT(16)	2533748187349233779	0 38 182 210 222 228 234 278 324 368 374 380 392 420 564 602	-896470081788
STPT(10)	2533748277998571407	0 2 42 44 72 74 102 104 144 146	-805820744160
SPT(16)	2533748333497682843	0 6 24 80 86 114 188 198 266 276 350 378 384 440 458 464	-750321632724
STPT(10)	2533748444301417767	0 2 30 32 72 74 114 116 144 146	-639517897800
STPT(10)	2533748597734893569	0 2 18 20 30 32 42 44 60 62	-486084421998
STPT(10)	2533748701210056269	0 2 42 44 60 62 78 80 120 122	-382609259298
SPT(16)	2533749371270645897	0 50 74 90 102 132 134 140 144 150 152 182 194 210 234 284	287451330330
SPT(16)	2533749498003946351	0 10 16 28 90 106 112 132 136 156 162 178 240 252 258 268	414184630784
STPT(10)	2533749524778214997	0 2 42 44 72 74 102 104 144 146	440958899430
STPT(10)	2533749959515657577	0 2 30 32 60 62 90 92 120 122	875696342010
STPT(10)	2533750277514105821	0 2 78 80 108 110 138 140 216 218	1193694790254