Prime p₀= 934217682205625771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 34 2 100 2 16 2 40 2 (?)
a_n: 0 2 18 20 90 92 126 128 228 230 246 248 288 290
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: 290
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 16 70 34 100 16 40

SPT(16)	934216958819436641	0 48 72 90 98 128 138 150 230 242 252 282 290 308 332 380	-723386189130
SPT(16)	934217089014355417	0 36 60 66 130 190 244 294 322 372 426 486 550 556 580 616	-593191270354
SPT(16)	934217175543448987	0 10 24 40 54 60 82 84 112 114 136 142 156 172 186 196	-506662176784
SPT(16)	934217359639618877	0 14 20 30 72 102 162 170 174 182 242 272 314 324 330 344	-322566006894
TPT(14)	934217658541932137	0 2 204 206 270 272 282 284 300 302 324 326 372 374	-23663693634
STPT(10)	934217665254126101	0 2 36 38 78 80 120 122 156 158	-16951499670
SPT(16)	934217701237220957	0 32 50 56 84 144 146 152 294 300 302 362 390 396 414 446	19031595186
STPT(10)	934218107385565697	0 2 30 32 60 62 90 92 120 122	425179939926
STPT(10)	934218270715731059	0 2 42 44 60 62 78 80 120 122	588510105288
TPT(14)	934218320386349939	0 2 42 44 48 50 150 152 180 182 210 212 222 224	638180724168
STPT(10)	934218422010074879	0 2 18 20 30 32 42 44 60 62	739804449108