Prime p₀= 2697457021301106371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 40 2 10 2 88 2 124 2 (?)
a_n: 0 2 66 68 126 128 168 170 180 182 270 272 396 398
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: 398
Found by: JayPi
db: batch=82, k=14, 64 58 40 10 88 124

TPT(14)	2697456107039672579	0 2 18 20 102 104 150 152 168 170 198 200 228 230	-914261433792
SPT(16)	2697456166811244481	0 18 58 82 90 96 100 132 136 168 172 178 186 210 250 268	-854489861890
SPT(16)	2697456372772802801	0 6 30 72 80 98 122 132 146 156 180 198 206 248 272 278	-648528303570
TPT(14)	2697456404895166949	0 2 60 62 72 74 180 182 192 194 210 212 222 224	-616405939422
STPT(10)	2697456597262046297	0 2 30 32 42 44 54 56 84 86	-424039060074
STPT(12)	2697456814895888891	0 2 18 20 30 32 96 98 108 110 126 128	-206405217480
SPT(16)	2697457249041748981	0 12 30 58 78 168 190 208 240 258 280 370 390 418 436 448	227740642610
SPT(16)	2697458398355105603	0 8 26 80 116 150 260 296 360 396 506 540 576 630 648 656	1377053999232
STPT(10)	2697458418371624189	0 2 18 20 60 62 102 104 120 122	1397070517818
SPT(16)	2697458613250534039	0 48 90 102 118 130 132 168 202 238 240 252 268 280 322 370	1591949427668
SPT(16)	2697458743199400611	0 2 12 90 116 126 138 170 228 260 272 282 308 386 396 398	1721898294240