Prime p₀= 908967991877643557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 4 2 82 2 46 2 28 2 (?)
a_n: 0 2 12 14 54 56 60 62 144 146 192 194 222 224
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: 224
Found by: HenkM
db: batch=76, k=14, 10 40 4 82 46 28

SPT(16)	908967298221105209	0 8 42 60 72 98 132 144 158 170 204 230 242 260 294 302	-693656538348
TPT(14)	908967416285184029	0 2 102 104 210 212 270 272 300 302 312 314 378 380	-575592459528
SPT(16)	908967465039714319	0 40 64 70 82 240 252 262 282 292 304 462 474 480 504 544	-526837929238
SPT(16)	908967616250052991	0 16 36 60 100 112 136 142 156 162 186 198 238 262 282 298	-375627590566
TPT(14)	908967893388846581	0 2 66 68 96 98 138 140 168 170 210 212 288 290	-98488796976
STPT(10)	908967944748980297	0 2 24 26 42 44 60 62 84 86	-47128663260
STPT(10)	908968021239945179	0 2 42 44 60 62 78 80 120 122	29362301622
TPT(14)	908968634286850409	0 2 42 44 60 62 108 110 240 242 312 314 318 320	642409206852
TPT(14)	908968725088590767	0 2 30 32 42 44 54 56 102 104 144 146 150 152	733210947210
STPT(10)	908968733795298677	0 2 54 56 72 74 90 92 144 146	741917655120
SPT(16)	908968820758917899	0 2 18 44 54 128 158 180 182 204 234 308 318 344 360 362	828881274342