Prime p₀= 1245086486427360677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 22 2 88 2 64 2 10 2 (?)
a_n: 0 2 60 62 90 92 114 116 204 206 270 272 282 284
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: Theadalus
db: batch=77, k=14, 58 28 22 88 64 10

TPT(14)	1245085316147512907	0 2 12 14 60 62 84 86 114 116 144 146 210 212	-1170279847770
STPT(10)	1245085544511095897	0 2 30 32 42 44 54 56 84 86	-941916264780
SPT(16)	1245085547064568021	0 10 70 88 96 108 138 150 226 238 268 280 288 306 366 376	-939362792656
SPT(16)	1245085912468070353	0 30 48 64 84 108 120 148 156 184 196 220 240 256 274 304	-573959290324
STPT(10)	1245085981459957067	0 2 30 32 72 74 114 116 144 146	-504967403610
SPT(16)	1245086096766011221	0 10 18 42 46 100 126 130 168 172 198 252 256 280 288 298	-389661349456
STPT(10)	1245086746317880559	0 2 30 32 60 62 90 92 120 122	259890519882
STPT(10)	1245086853178572587	0 2 30 32 42 44 54 56 84 86	366751211910
STPT(10)	1245087569388655541	0 2 6 8 48 50 90 92 96 98	1082961294864
STPT(10)	1245087642422409857	0 2 30 32 42 44 54 56 84 86	1155995049180
SPT(16)	1245087673374357919	0 22 28 30 64 78 94 204 298 408 424 438 472 474 480 502	1186946997242