Prime p₀= 2684333016803799761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 58 2 190 2 28 2 100 2 64 2 (?)
a_n: 0 2 36 38 96 98 288 290 318 320 420 422 486 488
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: 488
Found by: RFGuy_KCCO
db: batch=82, k=14, 34 58 190 28 100 64

SPT(13)	2684331373735619987	0 12 42 126 150 162 186 210 222 246 330 360 372	-1643068179774
SPT(16)	2684331799646487083	0 18 30 48 120 156 188 200 216 228 260 296 368 386 398 416	-1217157312678
STPT(10)	2684331949160655749	0 2 48 50 90 92 132 134 180 182	-1067643144012
TPT(14)	2684332106859311429	0 2 48 50 78 80 108 110 138 140 222 224 252 254	-909944488332
SPT(16)	2684332786816281011	0 26 32 56 92 126 132 158 210 236 242 276 312 336 342 368	-229987518750
SPT(16)	2684332915278586589	0 2 14 54 72 140 212 224 288 300 372 440 458 498 510 512	-101525213172
SPT(16)	2684333031700929097	0 4 46 82 144 172 180 216 250 286 294 322 384 420 462 466	14897129336
SPT(16)	2684333173167502859	0 32 38 62 72 98 144 162 170 188 234 260 270 294 300 332	156363703098
SPT(16)	2684333299763836613	0 8 36 48 78 90 98 116 120 138 146 158 188 200 228 236	282960036852
SPT(16)	2684334143777894059	0 12 48 60 78 90 102 130 162 190 202 214 232 244 280 292	1126974094298
STPT(10)	2684334257483732219	0 2 42 44 60 62 78 80 120 122	1240679932458