Prime p₀= 2338444895596191197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 40 2 10 2 64 2 82 2 (?)
a_n: 0 2 30 32 60 62 102 104 114 116 180 182 264 266
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: 266
Found by: sabres1616
db: batch=81, k=14, 28 28 40 10 64 82

TPT(14)	2338443924188050517	0 2 12 14 60 62 114 116 144 146 222 224 282 284	-971408140680
SPT(16)	2338443939469874221	0 30 46 76 90 100 108 142 186 220 228 238 252 282 298 328	-956126316976
STPT(10)	2338443973270612817	0 2 30 32 42 44 54 56 84 86	-922325578380
STPT(10)	2338444222466656361	0 2 36 38 78 80 120 122 156 158	-673129534836
SPT(16)	2338444387932405227	0 2 14 24 44 90 116 146 150 180 206 252 272 282 294 296	-507663785970
STPT(10)	2338444680141071231	0 2 36 38 78 80 120 122 156 158	-215455119966
STPT(10)	2338444932635405687	0 2 30 32 60 62 90 92 120 122	37039214490
SPT(16)	2338445063661833069	0 42 72 132 140 164 188 224 258 294 318 342 350 410 440 482	168065641872
STPT(10)	2338445176253730371	0 2 36 38 78 80 120 122 156 158	280657539174
SPT(13)	2338445555187228269	0 30 54 144 180 264 282 300 384 420 510 534 564	659591037072
STPT(10)	2338445613435005717	0 2 30 32 42 44 54 56 84 86	717838814520