Prime p₀= 961813497393868709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 10 2 46 2 10 2 70 2 94 2 (?)
a_n: 0 2 198 200 210 212 258 260 270 272 342 344 438 440
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: 440
Found by: Theadalus
db: batch=76, k=14, 196 10 46 10 70 94

SPT(16)	961812994101224491	0 30 58 76 142 150 168 178 210 220 238 246 312 330 358 388	-503292644218
SPT(16)	961812998468858843	0 38 68 80 104 108 110 168 206 264 266 270 294 306 336 374	-498925009866
SPT(16)	961813094140831741	0 22 28 30 78 96 100 106 132 138 142 160 208 210 216 238	-403253036968
SPT(16)	961813342459491257	0 32 36 50 54 110 134 140 156 162 186 242 246 260 264 296	-154934377452
TPT(14)	961813416488661851	0 2 36 38 48 50 90 92 210 212 288 290 408 410	-80905206858
STPT(10)	961813439790398969	0 2 12 14 90 92 168 170 180 182	-57603469740
SPT(16)	961813562951097223	0 28 34 90 94 156 184 210 274 300 328 390 394 450 456 484	65557228514
STPT(12)	961813653094757159	0 2 12 14 30 32 72 74 90 92 102 104	155700888450
STPT(10)	961813660829519747	0 2 12 14 72 74 132 134 144 146	163435651038
SPT(16)	961814365319754109	0 10 42 102 114 142 160 220 234 294 312 340 352 412 444 454	867925885400
SPT(13)	961814891795571857	0 60 66 72 120 150 156 162 192 240 246 252 312	1394401703148