Prime p₀= 2443127594406198311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 40 2 10 2 88 2 46 2 (?)
a_n: 0 2 6 8 66 68 108 110 120 122 210 212 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 4 58 40 10 88 46

TPT(14)	2443126708298420531	0 2 36 38 78 80 90 92 126 128 156 158 186 188	-886107777780
SPT(16)	2443126763641200817	0 4 12 22 24 36 90 102 154 166 220 232 234 244 252 256	-830764997494
SPT(16)	2443126997963350157	0 2 54 62 86 110 116 170 186 240 246 270 294 302 354 356	-596442848154
SPT(16)	2443127173999086227	0 50 56 86 92 120 132 174 212 254 266 294 300 330 336 386	-420407112084
STPT(10)	2443127254099177661	0 2 36 38 78 80 120 122 156 158	-340307020650
STPT(10)	2443127451722530121	0 2 6 8 48 50 90 92 96 98	-142683668190
TPT(14)	2443128069818801507	0 2 72 74 84 86 174 176 270 272 312 314 330 332	475412603196
STPT(10)	2443128586946980529	0 2 42 44 60 62 78 80 120 122	992540782218
SPT(16)	2443128598812246937	0 34 114 130 160 174 190 216 280 306 322 336 366 382 462 496	1004406048626
SPT(16)	2443128644573476423	0 6 46 58 76 90 100 114 130 144 154 168 186 198 238 244	1050167278112
STPT(10)	2443128821721488111	0 2 30 32 78 80 126 128 156 158	1227315289800