Prime p₀= 2126291263740365171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 40 2 70 2 4 2 22 2 (?)
a_n: 0 2 30 32 126 128 168 170 240 242 246 248 270 272
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: 272
Found by: CoolAtchOk
db: batch=80, k=14, 28 94 40 70 4 22

STPT(10)	2126289383478309809	0 2 12 14 90 92 168 170 180 182	-1880262055362
SPT(16)	2126289814720905241	0 18 46 70 72 90 102 160 168 226 238 256 258 282 310 328	-1449019459930
SPT(16)	2126290085103509011	0 10 30 36 66 78 82 100 108 126 130 142 172 178 198 208	-1178636856160
SPT(16)	2126290648450192489	0 4 52 102 108 150 172 184 228 240 262 304 310 360 408 412	-615290172682
TPT(14)	2126291079009447767	0 2 60 62 84 86 102 104 180 182 222 224 294 296	-184730917404
STPT(10)	2126291133565171721	0 2 36 38 78 80 120 122 156 158	-130175193450
SPT(16)	2126291337700890649	0 48 64 72 94 100 132 148 204 220 252 258 280 288 304 352	73960525478
STPT(10)	2126291501181953429	0 2 18 20 60 62 102 104 120 122	237441588258
STPT(10)	2126291973802656269	0 2 78 80 120 122 162 164 240 242	710062291098
TPT(14)	2126292005311703597	0 2 12 14 54 56 60 62 84 86 102 104 144 146	741571338426
STPT(10)	2126292350332126181	0 2 6 8 18 20 30 32 36 38	1086591761010