Prime p₀= 2824733898186636701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 88 2 16 2 40 2 10 2 166 2 (?)
a_n: 0 2 18 20 108 110 126 128 168 170 180 182 348 350
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: 350
Found by: fzs600
db: batch=82, k=14, 16 88 16 40 10 166

SPT(16)	2824732468456352053	0 4 66 78 84 108 124 130 144 150 166 190 196 208 270 274	-1429730284648
SPT(16)	2824732493490341999	0 24 74 102 134 180 188 204 248 264 272 318 350 378 428 452	-1404696294702
SPT(16)	2824732684910055137	0 14 36 84 170 176 210 236 270 296 330 336 422 470 492 506	-1213276581564
SPT(16)	2824732703751619733	0 48 78 80 98 108 128 156 308 336 356 366 384 386 416 464	-1194435016968
SPT(16)	2824732913330067059	0 20 50 62 84 90 102 108 134 140 152 158 180 192 222 242	-984856569642
SPT(16)	2824733033906621969	0 32 48 80 84 108 132 192 200 260 284 308 312 344 360 392	-864280014732
STPT(10)	2824734166210011899	0 2 18 20 30 32 42 44 60 62	268023375198
SPT(16)	2824734214895694697	0 46 70 96 136 142 172 180 226 234 264 270 310 336 360 406	316709057996
SPT(16)	2824734576916256399	0 2 72 80 84 108 110 128 174 192 194 218 222 230 300 302	678729619698
SPT(16)	2824734957185645177	0 44 66 90 120 174 224 234 266 276 326 380 410 434 456 500	1058999008476
STPT(10)	2824735708830317699	0 2 18 20 30 32 42 44 60 62	1810643680998