Prime p₀= 2338579167876624479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 46 2 40 2 34 2 10 2 (?)
a_n: 0 2 42 44 72 74 120 122 162 164 198 200 210 212
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: 212
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 40 28 46 40 34 10

SPT(16)	2338578350919233231	0 6 8 12 30 86 90 92 96 98 102 158 176 180 182 188	-816957391248
STPT(10)	2338578378751755191	0 2 6 8 18 20 30 32 36 38	-789124869288
STPT(10)	2338578560426485379	0 2 30 32 60 62 90 92 120 122	-607450139100
SPT(16)	2338578560885189137	0 54 100 132 240 264 282 312 322 352 370 394 502 534 580 634	-606991435342
SPT(16)	2338578830865200969	0 2 8 24 44 68 90 134 168 212 234 258 278 294 300 302	-337011423510
STPT(10)	2338579124899486949	0 2 18 20 30 32 42 44 60 62	-42977137530
SPT(16)	2338579201828882171	0 22 168 172 180 186 190 196 222 228 232 238 246 250 396 418	33952257692
SPT(16)	2338579777182879859	0 12 28 40 58 70 72 100 150 178 180 192 210 222 238 250	609306255380
STPT(10)	2338580001728714057	0 2 30 32 72 74 114 116 144 146	833852089578
STPT(10)	2338580651166562631	0 2 6 8 48 50 90 92 96 98	1483289938152
STPT(10)	2338580782297615151	0 2 6 8 18 20 30 32 36 38	1614420990672