Prime p₀= 2561577212083181627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 4 2 22 2 124 2 70 2 (?)
a_n: 0 2 24 26 54 56 60 62 84 86 210 212 282 284
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: conf [MM]
db: batch=82, k=14, 22 28 4 22 124 70

STPT(10)	2561575957319944889	0 2 42 44 60 62 78 80 120 122	-1254763236738
SPT(16)	2561576227175318279	0 54 78 120 188 192 198 224 288 314 320 324 392 434 458 512	-984907863348
STPT(10)	2561576481571088879	0 2 42 44 60 62 78 80 120 122	-730512092748
SPT(16)	2561576679456502559	0 38 68 74 78 108 158 168 200 210 260 290 294 300 330 368	-532626679068
SPT(20)	2561577120078134243	0 30 44 50 56 116 150 186 194 200 204 210 218 254 288 348 354 360 374 404	-92005047384
SPT(16)	2561577143118202777	0 12 24 36 96 120 154 184 192 222 256 280 340 352 364 376	-68964978850
STPT(10)	2561577462589150541	0 2 6 8 48 50 90 92 96 98	250505968914
STPT(10)	2561577531700930409	0 2 18 20 30 32 42 44 60 62	319617748782
SPT(16)	2561577611763893101	0 10 22 58 60 66 78 100 108 130 142 148 150 186 198 208	399680711474
SPT(16)	2561579247974344063	0 30 100 114 124 148 186 196 198 208 246 270 280 294 364 394	2035891162436
STPT(10)	2561579545107864947	0 2 12 14 42 44 72 74 84 86	2333024683320