Prime p₀= 3029676735011448407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 136 2 28 2 28 2 22 2 (?)
a_n: 0 2 54 56 72 74 210 212 240 242 270 272 294 296
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: 296
Found by: [SG-FC] hl
db: batch=82, k=14, 52 16 136 28 28 22

STPT(10)	3029676116852304767	0 2 12 14 42 44 72 74 84 86	-618159143640
STPT(10)	3029676144652803587	0 2 30 32 42 44 54 56 84 86	-590358644820
STPT(10)	3029676206927039609	0 2 42 44 60 62 78 80 120 122	-528084408798
SPT(16)	3029676213671743247	0 6 50 86 110 164 174 182 204 212 222 276 300 336 380 386	-521339705160
STPT(12)	3029676508338842699	0 2 30 32 42 44 108 110 120 122 150 152	-226672605708
SPT(16)	3029676642684687773	0 18 30 44 60 68 78 96 98 116 126 134 150 164 176 194	-92326760634
STPT(10)	3029676976221156431	0 2 30 32 78 80 126 128 156 158	241209708024
TPT(14)	3029677389702093677	0 2 42 44 54 56 162 164 180 182 204 206 222 224	654690645270
SPT(16)	3029677907237747131	0 10 18 22 28 66 72 88 90 106 112 150 156 160 168 178	1172226298724
TPT(14)	3029677989099052637	0 2 12 14 54 56 90 92 192 194 234 236 360 362	1254087604230
STPT(10)	3029678739988740809	0 2 12 14 30 32 48 50 60 62	2004977292402