Prime p₀= 924132186257062619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 124 2 100 2 70 2 4 2 (?)
a_n: 0 2 18 20 42 44 168 170 270 272 342 344 348 350
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: 350
Found by: Theadalus
db: batch=76, k=14, 16 22 124 100 70 4

SPT(16)	924131812879395797	0 6 56 62 84 122 146 152 174 180 204 242 264 270 320 326	-373377666822
STPT(10)	924131826244357271	0 2 30 32 78 80 126 128 156 158	-360012705348
SPT(16)	924132090521930249	0 14 32 44 60 68 78 84 128 134 144 152 168 180 198 212	-95735132370
STPT(10)	924132154375350257	0 2 30 32 42 44 54 56 84 86	-31881712362
SPT(16)	924132156260095103	0 14 18 38 60 126 138 146 228 236 248 314 336 356 360 374	-29996967516
STPT(10)	924132184729784939	0 2 18 20 30 32 42 44 60 62	-1527277680
SPT(18)	924132743109008221	0 42 60 178 222 228 250 270 276 292 298 318 340 346 390 508 526 568	556851945602
SPT(16)	924132824145552713	0 6 20 48 98 104 128 138 146 156 180 186 236 264 278 284	637888490094
SPT(16)	924132840312083119	0 70 78 102 124 132 138 144 268 274 280 288 310 334 342 412	654055020500
SPT(16)	924133058997158137	0 22 30 70 114 150 162 184 282 304 316 352 396 436 444 466	872740095518
SPT(20)	924133069372909663	0 28 60 78 88 108 144 154 264 268 276 280 390 400 436 456 466 484 516 544	883115847044