Prime p₀= 2399717693321838137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 88 2 28 2 16 2 (?)
a_n: 0 2 42 44 54 56 84 86 174 176 204 206 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 40 10 28 88 28 16

SPT(16)	2399716741344762461	0 32 66 68 96 98 116 138 200 222 240 242 270 272 306 338	-951977075676
STPT(10)	2399716869207235439	0 2 78 80 120 122 162 164 240 242	-824114602698
TPT(14)	2399716913612449619	0 2 12 14 42 44 102 104 168 170 180 182 198 200	-779709388518
SPT(16)	2399717094874937113	0 16 24 30 40 66 96 124 126 154 184 210 220 226 234 250	-598446901024
STPT(10)	2399717194011304367	0 2 12 14 72 74 132 134 144 146	-499310533770
SPT(16)	2399717488776324677	0 20 60 90 104 122 126 164 192 230 234 252 266 296 336 356	-204545513460
SPT(16)	2399717888647504421	0 38 42 72 78 80 86 120 128 162 168 170 176 206 210 248	195325666284
SPT(16)	2399717978420379101	0 2 6 42 66 80 86 116 132 162 168 182 206 242 246 248	285098540964
STPT(10)	2399718098213657267	0 2 54 56 72 74 90 92 144 146	404891819130
STPT(10)	2399718149168207909	0 2 18 20 30 32 42 44 60 62	455846369772
STPT(10)	2399718155070507107	0 2 42 44 72 74 102 104 144 146	461748668970