Prime p₀= 783937286381196977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 10 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 72 74 84 86 120 122 150 152 162 164
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: 164
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 10 58 10 34 28 10

STPT(10)	783936525371988347	0 2 60 62 102 104 144 146 204 206	-761009208630
SPT(16)	783936551179048649	0 12 32 50 74 92 98 114 158 174 180 198 222 240 260 272	-735202148328
STPT(10)	783936564767727167	0 2 30 32 42 44 54 56 84 86	-721613469810
STPT(10)	783936711519242717	0 2 42 44 72 74 102 104 144 146	-574861954260
SPT(16)	783936806795662837	0 30 64 70 100 132 144 240 286 382 394 426 456 462 496 526	-479585534140
SPT(16)	783936985002981409	0 18 64 120 130 144 160 174 208 222 238 252 262 318 364 382	-301378215568
STPT(10)	783937369264884587	0 2 30 32 42 44 54 56 84 86	82883687610
SPT(16)	783937430566561129	0 4 78 102 112 124 174 214 288 328 378 390 400 424 498 502	144185364152
STPT(10)	783937572687524501	0 2 36 38 78 80 120 122 156 158	286306327524
SPT(16)	783937683961480571	0 6 20 68 90 98 146 176 222 252 300 308 330 378 392 398	397580283594
SPT(16)	783937761203741779	0 24 34 130 138 144 154 160 312 318 328 334 342 438 448 472	474822544802