Prime p₀= 2062873593343109621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 52 2 58 2 16 2 10 2 76 2 (?)
a_n: 0 2 126 128 180 182 240 242 258 260 270 272 348 350
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: 350
Found by: Landjunge
db: batch=80, k=14, 124 52 58 16 10 76

STPT(10)	2062872805682051729	0 2 42 44 60 62 78 80 120 122	-787661057892
TPT(14)	2062872960856445789	0 2 60 62 102 104 132 134 162 164 228 230 252 254	-632486663832
TPT(14)	2062873147988167439	0 2 12 14 72 74 78 80 138 140 198 200 210 212	-445354942182
SPT(16)	2062873430405386631	0 30 48 68 138 140 146 152 156 162 168 170 240 260 278 308	-162937722990
SPT(16)	2062873482068607833	0 30 48 80 84 104 126 176 198 248 270 290 294 326 344 374	-111274501788
SPT(16)	2062873553024484379	0 12 22 64 100 114 142 144 208 210 238 252 288 330 340 352	-40318625242
STPT(10)	2062873696809766661	0 2 6 8 18 20 30 32 36 38	103466657040
SPT(16)	2062873782108163361	0 2 8 30 50 78 98 138 200 240 260 288 308 330 336 338	188765053740
TPT(14)	2062873914256526279	0 2 18 20 72 74 102 104 108 110 348 350 360 362	320913416658
STPT(10)	2062874145987967967	0 2 54 56 72 74 90 92 144 146	552644858346
SPT(16)	2062874415840912907	0 34 60 94 120 150 154 192 364 402 406 436 462 496 522 556	822497803286