Prime p₀= 2157304908355081601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 106 2 40 2 16 2 22 2 (?)
a_n: 0 2 6 8 48 50 156 158 198 200 216 218 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 4 40 106 40 16 22

STPT(10)	2157303914177201519	0 2 72 74 120 122 168 170 240 242	-994177880082
SPT(16)	2157303985239614977	0 6 12 24 52 64 106 126 190 210 252 264 292 304 310 316	-923115466624
TPT(14)	2157304023747367289	0 2 12 14 18 20 90 92 222 224 240 242 252 254	-884607714312
STPT(10)	2157304049436417821	0 2 30 32 60 62 90 92 120 122	-858918663780
STPT(10)	2157304139901581507	0 2 12 14 72 74 132 134 144 146	-768453500094
SPT(16)	2157304585904222999	0 2 80 98 104 110 128 180 182 234 252 258 264 282 360 362	-322450858602
STPT(10)	2157305127895653917	0 2 30 32 42 44 54 56 84 86	219540572316
SPT(16)	2157305346312461063	0 26 50 60 134 140 158 168 236 246 264 270 344 354 378 404	437957379462
SPT(16)	2157305512890975169	0 4 48 60 78 88 114 118 240 244 270 280 298 310 354 358	604535893568
SPT(16)	2157305516073445369	0 10 120 154 172 192 214 240 274 300 322 342 360 394 504 514	607718363768
SPT(16)	2157305739459476059	0 4 10 70 82 88 124 150 172 198 234 240 252 312 318 322	831104394458