Prime p₀= 2579438450965796279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 106 2 22 2 4 2 22 2 (?)
a_n: 0 2 12 14 60 62 168 170 192 194 198 200 222 224
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: biodoc
db: batch=82, k=14, 10 46 106 22 4 22

SPT(16)	2579437109709501289	0 22 28 30 54 70 84 124 198 238 252 268 292 294 300 322	-1341256294990
STPT(10)	2579437707768253217	0 2 12 14 72 74 132 134 144 146	-743197543062
SPT(16)	2579437816440358187	0 6 20 32 56 62 72 86 210 224 234 240 264 276 290 296	-634525438092
SPT(16)	2579438051158887277	0 6 42 46 76 90 112 130 132 150 172 186 216 220 256 262	-399806909002
STPT(10)	2579438083290868601	0 2 6 8 48 50 90 92 96 98	-367674927678
SPT(13)	2579438417253170489	0 24 30 84 90 150 162 174 234 240 294 300 324	-33712625790
STPT(10)	2579438512071710291	0 2 36 38 78 80 120 122 156 158	61105914012
SPT(16)	2579438704445163133	0 66 94 124 150 178 180 214 300 334 336 364 390 420 448 514	253479366854
STPT(10)	2579438849968649489	0 2 18 20 30 32 42 44 60 62	399002853210
TPT(14)	2579438905163463527	0 2 120 122 132 134 162 164 240 242 294 296 330 332	454197667248
SPT(16)	2579439719709572749	0 108 142 162 184 198 204 214 288 298 304 318 340 360 394 502	1268743776470