Prime p₀= 2808297387361825991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 40 2 46 2 22 2 58 2 (?)
a_n: 0 2 60 62 126 128 168 170 216 218 240 242 300 302
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: 302
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 58 64 40 46 22 58

SPT(16)	2808296367413287469	0 32 42 50 80 98 104 120 122 138 144 162 192 200 210 242	-1019948538522
TPT(14)	2808296399321349401	0 2 126 128 150 152 168 170 180 182 216 218 330 332	-988040476590
SPT(16)	2808296938718162261	0 12 38 42 66 68 86 90 188 192 210 212 236 240 266 278	-448643663730
SPT(16)	2808296957930837617	0 4 6 10 34 46 70 76 84 90 114 126 150 154 156 160	-429430988374
SPT(16)	2808297029716418183	0 6 20 56 84 104 128 146 168 186 210 230 258 294 308 314	-357645407808
SPT(16)	2808297103431216283	0 34 60 120 144 150 190 210 238 258 298 304 328 388 414 448	-283930609708
STPT(10)	2808297402675167069	0 2 18 20 30 32 42 44 60 62	15313341078
SPT(16)	2808297430177692953	0 14 24 48 56 84 104 110 234 240 260 288 296 320 330 344	42815866962
SPT(16)	2808297637174214149	0 24 60 84 90 130 144 150 202 208 222 262 268 292 328 352	249812388158
SPT(16)	2808298387721469983	0 26 84 110 114 116 120 156 158 194 198 200 204 230 288 314	1000359643992
SPT(16)	2808299516862652493	0 14 38 108 120 198 230 260 288 318 350 428 440 510 534 548	2129500826502