Prime p₀= 2034889109388429311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 70 2 106 2 28 2 100 2 40 2 (?)
a_n: 0 2 66 68 138 140 246 248 276 278 378 380 420 422
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: 422
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 64 70 106 28 100 40

STPT(10)	2034887108978594639	0 2 18 20 30 32 42 44 60 62	-2000409834672
SPT(16)	2034887430075069337	0 52 154 174 180 190 210 216 280 286 306 316 322 342 444 496	-1679313359974
STPT(10)	2034887739009154187	0 2 54 56 72 74 90 92 144 146	-1370379275124
SPT(16)	2034888341488786397	0 50 60 66 80 120 174 186 224 236 290 330 344 350 360 410	-767899642914
SPT(16)	2034888434037907871	0 20 38 42 62 66 92 96 122 126 152 156 176 180 198 218	-675350521440
SPT(20)	2034888760514937149	0 32 50 72 78 92 102 138 162 218 264 320 344 380 390 404 410 432 450 482	-348873492162
SPT(16)	2034889242543505367	0 120 126 132 140 152 192 236 246 290 330 342 350 356 362 482	133155076056
SPT(16)	2034889282640684543	0 84 90 104 156 170 198 230 234 266 294 308 360 374 380 464	173252255232
STPT(10)	2034889511771744627	0 2 24 26 42 44 60 62 84 86	402383315316
STPT(10)	2034889636978251551	0 2 36 38 78 80 120 122 156 158	527589822240
STPT(10)	2034890147806911077	0 2 12 14 72 74 132 134 144 146	1038418481766