Prime p₀= 1956996957422577251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 160 2 40 2 28 2 4 2 (?)
a_n: 0 2 126 128 156 158 318 320 360 362 390 392 396 398
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: [SG-2W]Kurzer
db: batch=80, k=14, 124 28 160 40 28 4

SPT(16)	1956995212348739921	0 8 66 78 96 98 108 168 290 350 360 362 380 392 450 458	-1745073837330
SPT(16)	1956995368259749381	0 36 42 46 82 88 156 160 168 172 240 246 282 286 292 328	-1589162827870
SPT(13)	1956996032117107747	0 24 30 36 84 90 120 150 156 204 210 216 240	-925305469504
SPT(16)	1956996308089530091	0 18 40 42 70 72 82 118 150 186 196 198 226 228 250 268	-649333047160
STPT(10)	1956996371192690591	0 2 30 32 78 80 126 128 156 158	-586229886660
SPT(16)	1956996641190798083	0 30 38 44 56 84 104 144 170 210 230 258 270 276 284 314	-316231779168
SPT(16)	1956997516159055947	0 22 40 54 64 82 124 132 142 150 192 210 220 234 252 274	558736478696
SPT(16)	1956997830118385311	0 60 88 118 160 180 190 202 258 270 280 300 342 372 400 460	872695808060
SPT(16)	1956997906975876943	0 6 96 104 110 156 180 204 230 254 278 324 330 338 428 434	949553299692
SPT(16)	1956998094991138643	0 26 36 48 104 110 140 146 168 174 204 210 266 278 288 314	1137568561392
SPT(16)	1956998422109864743	0 30 36 46 84 114 120 154 180 214 220 250 288 298 304 334	1464687287492