Prime p₀= 1411704709767143171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 46 2 76 2 28 2 22 2 (?)
a_n: 0 2 18 20 30 32 78 80 156 158 186 188 210 212
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: 212
Found by: Theadalus
db: batch=78, k=14, 16 10 46 76 28 22

SPT(16)	1411703644122137083	0 48 58 70 130 148 154 198 256 300 306 324 384 396 406 454	-1065645006088
TPT(14)	1411703952915937781	0 2 18 20 48 50 60 62 156 158 270 272 378 380	-756851205390
STPT(10)	1411704202113962357	0 2 30 32 42 44 54 56 84 86	-507653180814
SPT(16)	1411704202216043353	0 28 48 70 90 120 126 168 268 310 316 346 366 388 408 436	-507551099818
SPT(16)	1411704454110960367	0 10 12 24 46 54 94 96 100 102 142 150 172 184 186 196	-255656182804
SPT(16)	1411704656725504733	0 30 44 54 56 78 98 104 120 126 146 168 170 180 194 224	-53041638438
STPT(10)	1411704796736243897	0 2 30 32 42 44 54 56 84 86	86969100726
SPT(16)	1411704814783365731	0 12 48 68 102 140 158 168 170 180 198 236 270 290 326 338	105016222560
STPT(10)	1411705191368500619	0 2 48 50 90 92 132 134 180 182	481601357448
STPT(10)	1411705447256489681	0 2 6 8 18 20 30 32 36 38	737489346510
SPT(16)	1411705670566276853	0 60 74 80 96 104 110 120 164 174 180 188 204 210 224 284	960799133682