Prime p₀= 750260795975331101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 58 2 208 2 52 2 4 2 (?)
a_n: 0 2 30 32 66 68 126 128 336 338 390 392 396 398
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: 398
Found by: Theadalus
db: batch=73, k=14, 28 34 58 208 52 4

SPT(16)	750259978325903827	0 36 40 46 52 82 90 94 162 166 174 204 210 216 220 256	-817649427274
STPT(10)	750260223504522761	0 2 30 32 60 62 90 92 120 122	-572470808340
SPT(16)	750260326372996133	0 14 24 66 74 80 90 134 156 200 210 216 224 266 276 290	-469602334968
STPT(10)	750260396835211811	0 2 6 8 48 50 90 92 96 98	-399140119290
SPT(16)	750260443410368567	0 6 54 56 122 150 174 200 216 242 266 294 360 362 410 416	-352564962534
SPT(16)	750260681903339051	0 30 78 120 156 162 180 236 312 368 386 392 428 470 518 548	-114071992050
SPT(16)	750260925851969003	0 6 26 96 104 108 128 170 174 216 236 240 248 318 338 344	129876637902
STPT(10)	750261010805076299	0 2 42 44 90 92 138 140 180 182	214829745198
STPT(10)	750261346773957047	0 2 12 14 42 44 72 74 84 86	550798625946
SPT(16)	750261599493673177	0 16 42 60 126 136 154 180 226 252 270 280 346 364 390 406	803518342076
SPT(16)	750261788107784609	0 12 62 90 98 122 128 138 182 192 198 222 230 258 308 320	992132453508