Prime p₀= 2769658233355746617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 16 2 58 2 82 2 64 2 (?)
a_n: 0 2 84 86 132 134 150 152 210 212 294 296 360 362
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: 362
Found by: RFGuy_KCCO
db: batch=82, k=14, 82 46 16 58 82 64

TPT(14)	2769656735831520191	0 2 60 62 66 68 96 98 138 140 360 362 378 380	-1497524226426
STPT(10)	2769656795101594427	0 2 12 14 42 44 72 74 84 86	-1438254152190
SPT(16)	2769657380918449877	0 6 14 30 32 50 60 62 114 116 126 144 146 162 170 176	-852437296740
STPT(10)	2769657739796865821	0 2 36 38 78 80 120 122 156 158	-493558880796
SPT(16)	2769657858672413981	0 20 42 48 96 122 140 156 182 198 216 242 290 296 318 338	-374683332636
TPT(14)	2769657867456652727	0 2 60 62 84 86 90 92 120 122 144 146 174 176	-365899093890
STPT(10)	2769658397703342701	0 2 6 8 48 50 90 92 96 98	164347596084
SPT(16)	2769658661217273149	0 32 48 60 74 80 90 162 230 302 312 318 332 344 360 392	427861526532
STPT(10)	2769658857315335759	0 2 48 50 90 92 132 134 180 182	623959589142
STPT(10)	2769659121600510791	0 2 36 38 78 80 120 122 156 158	888244764174
SPT(16)	2769659147445981851	0 8 26 36 42 48 128 140 168 180 260 266 272 282 300 308	914090235234