Prime p₀= 3001589305823995331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 28 2 10 2 58 2 28 2 (?)
a_n: 0 2 30 32 126 128 156 158 168 170 228 230 258 260
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: 260
Found by: [SG-FC] hl
db: batch=82, k=14, 28 94 28 10 58 28

SPT(16)	3001588247589455539	0 4 54 70 82 88 108 124 198 214 234 240 252 268 318 322	-1058234539792
STPT(10)	3001588366848887909	0 2 42 44 60 62 78 80 120 122	-938975107422
SPT(16)	3001589135857758041	0 30 60 72 116 138 140 162 176 198 200 222 266 278 308 338	-169966237290
SPT(16)	3001589158643129801	0 8 18 42 66 132 146 182 186 222 236 302 326 350 360 368	-147180865530
SPT(16)	3001589262344819977	0 12 42 52 112 162 172 190 336 354 364 414 474 484 514 526	-43479175354
STPT(10)	3001589288515418927	0 2 30 32 42 44 54 56 84 86	-17308576404
TPT(14)	3001589613065250071	0 2 96 98 126 128 216 218 270 272 306 308 336 338	307241254740
SPT(16)	3001590029920724017	0 6 24 40 54 94 96 100 150 154 156 196 210 226 244 250	724096728686
SPT(16)	3001590071993240099	0 32 102 114 168 180 194 204 218 228 242 254 308 320 390 422	766169244768
SPT(16)	3001590307531517059	0 10 24 40 52 54 78 112 150 184 208 210 222 238 252 262	1001707521728
STPT(10)	3001590436867652657	0 2 24 26 42 44 60 62 84 86	1131043657326