Prime p₀= 2344397257768233329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 10 2 64 2 58 2 10 2 (?)
a_n: 0 2 48 50 60 62 72 74 138 140 198 200 210 212
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: Donn Pike (USAF Ret)
db: batch=81, k=14, 46 10 10 64 58 10

STPT(10)	2344396640348645327	0 2 30 32 42 44 54 56 84 86	-617419588002
SPT(16)	2344396733628008659	0 12 40 88 94 112 124 130 132 138 150 168 174 222 250 262	-524140224670
STPT(10)	2344396826364490097	0 2 30 32 72 74 114 116 144 146	-431403743232
SPT(16)	2344396896544372543	0 4 76 126 144 154 156 178 216 238 240 250 268 318 390 394	-361223860786
TPT(16)	2344396905625637879	0 2 18 20 78 80 90 92 120 122 210 212 228 230 240 242	-352142595450
TPT(14)	2344397136221148131	0 2 6 8 30 32 60 62 90 92 180 182 198 200	-121547085198
SPT(16)	2344397294014986019	0 12 18 40 78 94 148 150 232 234 288 304 342 364 370 382	36246752690
TPT(14)	2344397473364323679	0 2 120 122 150 152 168 170 198 200 222 224 252 254	215596090350
STPT(10)	2344397544808422539	0 2 18 20 60 62 102 104 120 122	287040189210
SPT(16)	2344397778627809351	0 12 30 56 98 102 122 140 168 186 206 210 252 278 296 308	520859576022
SPT(16)	2344398104328706687	0 4 6 52 76 136 154 172 174 192 210 270 294 340 342 346	846560473358