Prime p₀= 2616814101995220581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 64 2 22 2 154 2 10 2 (?)
a_n: 0 2 18 20 60 62 126 128 150 152 306 308 318 320
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: 320
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 16 40 64 22 154 10

SPT(16)	2616812164787798911	0 10 36 40 72 108 118 168 190 240 250 286 318 322 348 358	-1937207421670
SPT(16)	2616812399038024589	0 2 54 68 72 98 224 234 278 288 414 440 444 458 510 512	-1702957195992
STPT(10)	2616812442347925461	0 2 6 8 48 50 90 92 96 98	-1659647295120
SPT(16)	2616812523810888577	0 94 124 130 136 180 186 196 210 220 226 270 276 282 312 406	-1578184332004
SPT(16)	2616812881355575307	0 42 86 104 140 144 146 170 186 210 212 216 252 270 314 356	-1220639645274
SPT(16)	2616812936025795487	0 10 22 40 60 82 100 112 180 192 210 232 252 270 282 292	-1165969425094
STPT(10)	2616814368800147639	0 2 12 14 30 32 48 50 60 62	266804927058
SPT(16)	2616814448501870159	0 20 30 50 54 90 98 104 204 210 218 254 258 278 288 308	346506649578
SPT(16)	2616814816619855207	0 2 20 110 140 146 170 230 276 336 360 366 396 486 504 506	714624634626
SPT(16)	2616815340587596913	0 18 20 30 48 74 114 156 218 260 300 326 344 354 356 374	1238592376332
STPT(10)	2616815609258059397	0 2 24 26 42 44 60 62 84 86	1507262838816