Prime p₀= 2707934094185096927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 106 2 22 2 58 2 58 2 34 2 (?)
a_n: 0 2 42 44 150 152 174 176 234 236 294 296 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 40 106 22 58 58 34

STPT(10)	2707932617721245741	0 2 30 32 78 80 126 128 156 158	-1476463851186
STPT(10)	2707932993859454687	0 2 30 32 42 44 54 56 84 86	-1100325642240
STPT(10)	2707933090219332551	0 2 36 38 78 80 120 122 156 158	-1003965764376
STPT(10)	2707933214720183069	0 2 42 44 90 92 138 140 180 182	-879464913858
SPT(16)	2707933406259585463	0 78 88 94 108 114 136 148 186 198 220 226 240 246 256 334	-687925511464
STPT(10)	2707933865344250351	0 2 6 8 48 50 90 92 96 98	-228840846576
TPT(14)	2707934412635761919	0 2 30 32 120 122 150 152 192 194 318 320 330 332	318450664992
SPT(16)	2707934604072575011	0 36 46 60 70 88 96 102 106 112 120 138 148 162 172 208	509887478084
STPT(10)	2707935022617638267	0 2 24 26 42 44 60 62 84 86	928432541340
SPT(16)	2707935182592366071	0 2 8 42 90 132 158 182 246 270 296 338 386 420 426 428	1088407269144
SPT(16)	2707935439965795703	0 34 60 66 94 118 126 136 258 268 276 300 328 334 360 394	1345780698776