Prime p₀= 3489841904585906267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 40 2 148 2 10 2 34 2 (?)
a_n: 0 2 24 26 30 32 72 74 222 224 234 236 270 272
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: Orange Kid
db: batch=83, k=14, 22 4 40 148 10 34

SPT(16)	3489841003752002453	0 38 56 120 138 156 168 176 198 206 218 236 254 318 336 374	-900833903814
STPT(10)	3489841491909375917	0 2 12 14 42 44 72 74 84 86	-412676530350
SPT(16)	3489841543323910193	0 20 56 74 108 144 146 156 158 168 170 206 240 258 294 314	-361261996074
TPT(14)	3489841648189937531	0 2 30 32 78 80 108 110 126 128 138 140 150 152	-256395968736
SPT(16)	3489841757667568139	0 2 12 20 30 62 104 110 174 180 222 254 264 272 282 284	-146918338128
STPT(10)	3489841772227618007	0 2 54 56 72 74 90 92 144 146	-132358288260
STPT(12)	3489841934545120577	0 2 24 26 42 44 132 134 150 152 174 176	29959214310
STPT(10)	3489842513278111577	0 2 30 32 72 74 114 116 144 146	608692205310
TPT(14)	3489842799306129659	0 2 30 32 72 74 108 110 162 164 378 380 402 404	894720223392
SPT(16)	3489843241280172389	0 18 42 48 68 72 90 110 132 152 170 174 194 200 224 242	1336694266122
STPT(10)	3489843265013600741	0 2 30 32 120 122 210 212 240 242	1360427694474