Prime p₀= 2579719456802068169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 28 2 52 2 16 2 40 2 (?)
a_n: 0 2 30 32 78 80 108 110 162 164 180 182 222 224
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: 224
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 46 28 52 16 40

SPT(16)	2579717147494944071	0 62 72 98 110 156 168 182 186 200 212 258 270 296 306 368	-2309307124098
STPT(10)	2579717360055160667	0 2 24 26 42 44 60 62 84 86	-2096746907502
SPT(16)	2579717556103646551	0 22 36 52 66 76 126 150 172 196 246 256 270 286 300 322	-1900698421618
STPT(10)	2579718144301968881	0 2 30 32 78 80 126 128 156 158	-1312500099288
SPT(16)	2579718950259500521	0 36 42 70 76 82 90 96 142 148 156 162 168 196 202 238	-506542567648
SPT(16)	2579718965463470983	0 10 84 88 118 168 196 208 216 228 256 306 336 340 414 424	-491338597186
TPT(14)	2579719482874268477	0 2 120 122 162 164 222 224 240 242 264 266 294 296	26072200308
STPT(10)	2579719716120319649	0 2 30 32 60 62 90 92 120 122	259318251480
STPT(10)	2579720812246188209	0 2 18 20 30 32 42 44 60 62	1355444120040
STPT(10)	2579721252499861619	0 2 78 80 120 122 162 164 240 242	1795697793450
SPT(16)	2579721329334643007	0 62 72 104 122 126 164 210 236 282 320 324 342 374 384 446	1872532574838