Prime p₀= 2993687872240522649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 16 2 40 2 76 2 40 2 16 2 (?)
a_n: 0 2 192 194 210 212 252 254 330 332 372 374 390 392
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: 392
Found by: Orange Kid
db: batch=82, k=14, 190 16 40 76 40 16

SPT(16)	2993687180640341851	0 12 22 30 52 72 78 100 108 130 136 156 178 186 196 208	-691600180798
STPT(10)	2993687365986279167	0 2 30 32 102 104 174 176 204 206	-506254243482
STPT(10)	2993687369086924397	0 2 24 26 42 44 60 62 84 86	-503153598252
SPT(16)	2993687478480588541	0 18 22 66 136 142 156 166 252 262 276 282 352 396 400 418	-393759934108
SPT(16)	2993687567725146907	0 24 40 112 214 250 264 300 304 340 354 390 492 564 580 604	-304515375742
STPT(10)	2993687806850310527	0 2 12 14 42 44 72 74 84 86	-65390212122
STPT(12)	2993687872240522841	0 2 18 20 60 62 138 140 180 182 198 200	192
TPT(14)	2993688883400453087	0 2 132 134 150 152 210 212 222 224 384 386 462 464	1011159930438
SPT(16)	2993689011451242887	0 14 24 54 126 156 180 186 194 200 224 254 326 356 366 380	1139210720238
STPT(10)	2993689447475123987	0 2 42 44 72 74 102 104 144 146	1575234601338
SPT(16)	2993689467040347389	0 20 44 98 194 224 230 278 300 348 354 384 480 534 558 578	1594799824740