Prime p₀= 2568626345050478969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 10 2 118 2 70 2 124 2 (?)
a_n: 0 2 42 44 48 50 60 62 180 182 252 254 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 40 4 10 118 70 124

STPT(10)	2568625142825297627	0 2 30 32 42 44 54 56 84 86	-1202225181342
SPT(16)	2568625461018853139	0 14 30 50 98 150 254 260 282 288 392 444 492 512 528 542	-884031625830
SPT(16)	2568625855904996579	0 2 132 158 174 198 200 234 248 282 284 308 324 350 480 482	-489145482390
STPT(10)	2568626112310592987	0 2 42 44 102 104 162 164 204 206	-232739885982
SPT(16)	2568626236581619699	0 4 60 64 70 88 130 148 150 168 210 228 234 238 294 298	-108468859270
STPT(10)	2568626319367613381	0 2 30 32 60 62 90 92 120 122	-25682865588
SPT(16)	2568626900699841299	0 8 38 48 50 80 108 168 170 230 258 288 290 300 330 338	555649362330
SPT(16)	2568626917248208429	0 28 64 82 84 90 252 264 268 280 442 448 450 468 504 532	572197729460
SPT(16)	2568627230799843769	0 34 48 58 70 100 114 138 184 208 222 252 264 274 288 322	885749364800
SPT(16)	2568627329055970241	0 8 26 42 48 66 86 92 126 132 152 170 176 192 210 218	984005491272
STPT(10)	2568628002421716791	0 2 6 8 48 50 90 92 96 98	1657371237822