Prime p₀= 2441396736337818359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 10 2 28 2 154 2 22 2 (?)
a_n: 0 2 48 50 60 62 72 74 102 104 258 260 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 46 10 10 28 154 22

SPT(16)	2441394998371805321	0 62 126 158 182 240 248 258 290 300 308 366 390 422 486 548	-1737966013038
SPT(13)	2441395142951466719	0 12 24 30 54 90 132 174 210 234 240 252 264	-1593386351640
TPT(14)	2441395598373577427	0 2 162 164 180 182 192 194 264 266 294 296 324 326	-1137964240932
SPT(16)	2441396165995540319	0 12 42 60 68 104 158 164 168 174 228 264 272 290 320 332	-570342278040
SPT(16)	2441396199167487557	0 6 14 20 30 36 56 86 210 240 260 266 276 282 290 296	-537170330802
STPT(10)	2441396706860144807	0 2 54 56 72 74 90 92 144 146	-29477673552
STPT(10)	2441396824814926829	0 2 42 44 90 92 138 140 180 182	88477108470
SPT(16)	2441397003702457043	0 38 48 66 80 90 96 116 168 188 194 204 218 236 246 284	267364638684
SPT(16)	2441397041188209557	0 14 24 32 60 62 84 102 164 182 204 206 234 242 252 266	304850391198
SPT(16)	2441397061873798493	0 20 24 36 38 44 84 98 156 170 210 216 218 230 234 254	325535980134
SPT(16)	2441397070221188293	0 4 54 60 84 96 154 180 190 216 274 286 310 316 366 370	333883369934