Prime p₀= 3879028920005912009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 196 2 40 2 34 2 52 2 76 2 (?)
a_n: 0 2 42 44 240 242 282 284 318 320 372 374 450 452
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: 452
Found by: Conan
db: batch=84, k=14, 40 196 40 34 52 76

SPT(16)	3879027863893466821	0 6 40 66 76 82 88 172 216 300 306 312 322 348 382 388	-1056112445188
STPT(10)	3879027949292399159	0 2 12 14 90 92 168 170 180 182	-970713512850
SPT(16)	3879028196091760501	0 28 30 52 66 88 100 118 150 168 180 202 216 238 240 268	-723914151508
SPT(16)	3879028220392915489	0 58 100 124 148 210 228 282 340 394 412 474 498 522 564 622	-699612996520
TPT(14)	3879028577958166637	0 2 30 32 90 92 114 116 144 146 174 176 210 212	-342047745372
SPT(16)	3879028823628191281	0 58 70 72 138 142 156 196 252 292 306 310 376 378 390 448	-96377720728
SPT(18)	3879029029290481841	0 26 36 42 90 92 132 140 222 230 312 320 360 362 410 416 426 452	109284569832
SPT(16)	3879029152190483831	0 18 38 42 122 140 150 152 198 200 210 228 308 312 332 350	232184571822
STPT(12)	3879029387883570449	0 2 12 14 42 44 60 62 90 92 102 104	467877658440
STPT(10)	3879029533667336309	0 2 18 20 30 32 42 44 60 62	613661424300
TPT(14)	3879029726016851741	0 2 18 20 60 62 108 110 126 128 186 188 210 212	806010939732