Prime p₀= 2044080245628013919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 94 2 58 2 28 2 52 2 (?)
a_n: 0 2 18 20 42 44 138 140 198 200 228 230 282 284
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: 284
Found by: Orange Kid
db: batch=80, k=14, 16 22 94 58 28 52

SPT(16)	2044079005991580739	0 10 24 34 52 90 108 130 132 154 172 210 228 238 252 262	-1239636433180
STPT(10)	2044079051578930979	0 2 18 20 30 32 42 44 60 62	-1194049082940
STPT(10)	2044079155298718821	0 2 6 8 48 50 90 92 96 98	-1090329295098
SPT(16)	2044079503033401193	0 24 28 34 64 66 76 120 154 198 208 210 240 246 250 274	-742594612726
SPT(16)	2044079560617784381	0 18 40 96 108 180 186 198 238 250 256 328 340 396 418 436	-685010229538
STPT(10)	2044079678253747647	0 2 60 62 102 104 144 146 204 206	-567374266272
SPT(16)	2044080653204311399	0 28 42 72 88 108 112 142 270 300 304 324 340 370 384 412	407576297480
STPT(10)	2044080763455638597	0 2 30 32 42 44 54 56 84 86	517827624678
SPT(16)	2044080998194158047	0 14 24 50 66 104 146 152 174 180 222 260 276 302 312 326	752566144128
STPT(10)	2044081177651240709	0 2 42 44 60 62 78 80 120 122	932023226790
SPT(16)	2044081424521038967	0 16 30 154 262 294 304 312 364 372 382 414 522 646 660 676	1178893025048