Prime p₀= 2574585699369863519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 70 2 136 2 28 2 (?)
a_n: 0 2 18 20 42 44 60 62 132 134 270 272 300 302
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: JayPi
db: batch=82, k=14, 16 22 16 70 136 28

STPT(10)	2574583466926604447	0 2 30 32 72 74 114 116 144 146	-2232443259072
SPT(16)	2574584086801693469	0 20 48 54 68 72 90 98 144 152 170 174 188 194 222 242	-1612568170050
STPT(10)	2574585008990044241	0 2 36 38 78 80 120 122 156 158	-690379819278
STPT(10)	2574585123482752277	0 2 42 44 102 104 162 164 204 206	-575887111242
SPT(16)	2574585164672395669	0 4 28 70 78 82 88 138 214 264 270 274 282 324 348 352	-534697467850
SPT(16)	2574585194087016287	0 14 56 60 102 116 150 156 170 176 210 224 266 270 312 326	-505282847232
STPT(10)	2574586127614979459	0 2 42 44 60 62 78 80 120 122	428245115940
SPT(16)	2574586144480706687	0 24 44 60 116 140 174 204 212 242 276 300 356 372 392 416	445110843168
STPT(10)	2574586473404777399	0 2 72 74 120 122 168 170 240 242	774034913880
SPT(16)	2574586544285748539	0 42 44 78 110 134 144 164 198 218 228 252 284 318 320 362	844915885020
SPT(16)	2574586848992581601	0 2 6 38 140 156 192 198 230 236 272 288 390 422 426 428	1149622718082