Prime p₀= 1974394761811248107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 148 2 28 2 70 2 10 2 16 2 (?)
a_n: 0 2 90 92 240 242 270 272 342 344 354 356 372 374
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: 374
Found by: Orange Kid
db: batch=80, k=14, 88 148 28 70 10 16

SPT(16)	1974393189739021621	0 12 40 70 148 166 168 198 250 280 282 300 378 408 436 448	-1572072226486
STPT(10)	1974393937611671699	0 2 12 14 30 32 48 50 60 62	-824199576408
SPT(16)	1974394103991022447	0 16 42 54 114 136 142 192 214 264 270 292 352 364 390 406	-657820225660
TPT(14)	1974394155193969877	0 2 30 32 42 44 102 104 144 146 222 224 240 242	-606617278230
SPT(16)	1974394414415930863	0 10 16 28 30 48 66 88 96 118 136 154 156 168 174 184	-347395317244
STPT(10)	1974394431067554401	0 2 6 8 48 50 90 92 96 98	-330743693706
SPT(16)	1974394986781466393	0 14 18 26 44 60 110 128 156 174 224 240 258 266 270 284	224970218286
SPT(16)	1974395066164710617	0 2 32 156 176 186 194 206 240 252 260 270 290 414 444 446	304353462510
STPT(10)	1974395370940246559	0 2 48 50 90 92 132 134 180 182	609128998452
STPT(10)	1974395994341899019	0 2 48 50 90 92 132 134 180 182	1232530650912
STPT(10)	1974396070693906817	0 2 60 62 72 74 84 86 144 146	1308882658710