Prime p₀= 2011720913972314577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 178 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 264 266 282 284 324 326
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: 326
Found by: Orange Kid
db: batch=80, k=14, 40 16 22 178 16 40

SPT(16)	2011718847803043089	0 14 20 72 84 102 104 140 162 198 200 218 230 282 288 302	-2066169271488
TPT(14)	2011719626907054791	0 2 60 62 108 110 126 128 156 158 198 200 336 338	-1287065259786
SPT(16)	2011719713009241857	0 20 56 66 84 90 156 200 240 284 350 356 374 384 420 440	-1200963072720
TPT(14)	2011720197949049039	0 2 48 50 60 62 72 74 90 92 240 242 258 260	-716023265538
SPT(16)	2011720678436354323	0 34 58 60 118 144 154 208 216 270 280 306 364 366 390 424	-235535960254
SPT(16)	2011720811837888027	0 2 24 30 44 132 140 192 224 276 284 372 386 392 414 416	-102134426550
TPT(14)	2011720961672939591	0 2 18 20 90 92 96 98 126 128 270 272 306 308	47700625014
STPT(10)	2011721432496879209	0 2 78 80 120 122 162 164 240 242	518524564632
SPT(16)	2011721507490817561	0 46 52 90 112 148 178 190 318 330 360 396 418 456 462 508	593518502984
SPT(16)	2011721676535483351	0 10 46 48 52 60 76 102 136 162 178 186 190 192 228 238	762563168774
STPT(10)	2011721853848108999	0 2 42 44 60 62 78 80 120 122	939875794422