Prime p₀= 2878442516226939197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 88 2 58 2 22 2 88 2 (?)
a_n: 0 2 84 86 90 92 180 182 240 242 264 266 354 356
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: 356
Found by: fzs600
db: batch=82, k=14, 82 4 88 58 22 88

STPT(10)	2878440829462859201	0 2 30 32 78 80 126 128 156 158	-1686764079996
SPT(16)	2878441172299387951	0 6 22 90 106 190 196 202 210 216 222 306 322 390 406 412	-1343927551246
SPT(16)	2878441186270544701	0 28 46 66 72 132 162 186 202 226 256 316 322 342 360 388	-1329956394496
STPT(10)	2878441432663151891	0 2 6 8 48 50 90 92 96 98	-1083563787306
SPT(16)	2878441761585794539	0 18 22 28 42 150 160 198 232 270 280 388 402 408 412 430	-754641144658
SPT(16)	2878442085024599033	0 20 44 50 68 84 90 110 114 134 140 156 174 180 204 224	-431202340164
SPT(16)	2878442679620943499	0 22 52 72 78 94 138 142 150 154 198 214 220 240 270 292	163394004302
TPT(14)	2878443274312705991	0 2 6 8 36 38 168 170 180 182 210 212 246 248	758085766794
SPT(16)	2878443394012824809	0 20 30 62 78 92 120 122 138 140 168 182 198 230 240 260	877785885612
STPT(10)	2878443823792314131	0 2 6 8 48 50 90 92 96 98	1307565374934
STPT(10)	2878444003988709941	0 2 36 38 78 80 120 122 156 158	1487761770744