Prime p₀= 794272644998385569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 52 2 28 2 4 2 112 2 4 2 (?)
a_n: 0 2 78 80 132 134 162 164 168 170 282 284 288 290
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: [SG]FX
db: batch=73, k=14, 76 52 28 4 112 4

STPT(10)	794271947157363041	0 2 6 8 48 50 90 92 96 98	-697841022528
SPT(16)	794272060679988791	0 26 62 98 108 120 162 182 216 236 278 290 300 336 372 398	-584318396778
TPT(14)	794272135141528031	0 2 18 20 30 32 126 128 156 158 216 218 228 230	-509856857538
TPT(14)	794272383734969309	0 2 30 32 60 62 132 134 210 212 240 242 252 254	-261263416260
SPT(16)	794272487365961651	0 6 60 102 126 150 152 176 192 216 218 242 266 308 362 368	-157632423918
SPT(16)	794272523106238321	0 52 82 90 112 126 132 136 162 166 172 186 208 216 246 298	-121892147248
TPT(14)	794272768012717289	0 2 18 20 30 32 90 92 132 134 162 164 168 170	123014331720
STPT(10)	794272905096576419	0 2 48 50 90 92 132 134 180 182	260098190850
SPT(20)	794273126282832467	0 24 62 102 104 116 174 176 182 204 272 294 300 302 360 372 374 414 452 476	481284446898
STPT(10)	794273130310838537	0 2 60 62 72 74 84 86 144 146	485312452968
SPT(16)	794273419362579661	0 30 36 60 72 82 88 96 112 120 126 136 148 172 178 208	774364194092