Prime p₀= 944102563017396491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 28 2 34 2 70 2 58 2 (?)
a_n: 0 2 18 20 90 92 120 122 156 158 228 230 288 290
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: HenkM
db: batch=76, k=14, 16 70 28 34 70 58

TPT(14)	944101869300233471	0 2 48 50 60 62 78 80 126 128 216 218 240 242	-693717163020
STPT(10)	944101906607918879	0 2 18 20 30 32 42 44 60 62	-656409477612
SPT(16)	944101909014068921	0 90 98 132 146 156 168 200 228 260 272 282 296 330 338 428	-654003327570
SPT(16)	944102124151154317	0 4 12 42 60 76 94 96 250 252 270 286 304 334 342 346	-438866242174
SPT(16)	944102183236960879	0 54 60 70 88 124 160 180 208 228 264 300 318 328 334 388	-379780435612
STPT(10)	944102211424773389	0 2 18 20 30 32 42 44 60 62	-351592623102
SPT(16)	944102925772818277	0 6 16 22 60 90 112 120 166 174 196 226 264 270 280 286	362755421786
STPT(10)	944103082689711317	0 2 42 44 102 104 162 164 204 206	519672314826
TPT(14)	944103275056456517	0 2 90 92 132 134 162 164 270 272 294 296 330 332	712039060026
SPT(16)	944103594313973839	0 28 30 48 88 130 144 148 180 184 198 240 280 298 300 328	1031296577348
TPT(14)	944103618086095877	0 2 12 14 54 56 90 92 102 104 144 146 252 254	1055068699386