Prime p₀= 2404418191642624517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 250 2 40 2 34 2 40 2 16 2 22 2 (?)
a_n: 0 2 252 254 294 296 330 332 372 374 390 392 414 416
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: 416
Found by: [SG-FC] hl
db: batch=82, k=14, 250 40 34 40 16 22

SPT(16)	2404416995489341489	0 24 40 48 82 100 114 174 178 238 252 270 304 312 328 352	-1196153283028
TPT(14)	2404417205004206267	0 2 72 74 120 122 150 152 210 212 252 254 264 266	-986638418250
SPT(16)	2404417310248041973	0 36 76 118 124 126 190 280 294 384 448 450 456 498 538 574	-881394582544
STPT(10)	2404417351654818581	0 2 6 8 48 50 90 92 96 98	-839987805936
STPT(10)	2404417376899151099	0 2 48 50 90 92 132 134 180 182	-814743473418
SPT(16)	2404417647697719169	0 10 22 42 52 88 124 130 252 258 294 330 340 360 372 382	-543944905348
SPT(16)	2404418231444066059	0 18 28 48 70 88 102 112 180 190 204 222 244 264 274 292	39801441542
SPT(16)	2404418266264794919	0 28 42 72 102 130 138 142 210 214 222 250 280 310 324 352	74622170402
SPT(16)	2404418713249391791	0 28 40 82 88 108 112 120 130 138 142 162 168 210 222 250	521606767274
STPT(10)	2404419174847538447	0 2 30 32 42 44 54 56 84 86	983204913930
SPT(16)	2404419246014861203	0 10 46 60 66 120 238 244 270 276 394 448 454 468 504 514	1054372236686