Prime p₀= 1915873699421238341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 58 2 64 2 28 2 10 2 (?)
a_n: 0 2 78 80 120 122 180 182 246 248 276 278 288 290
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: 290
Found by: CoolAtchOk
db: batch=80, k=14, 76 40 58 64 28 10

SPT(16)	1915872761887185587	0 6 24 36 50 54 120 126 134 140 206 210 224 236 254 260	-937534052754
SPT(16)	1915873233787842569	0 8 38 78 104 120 140 144 164 168 188 204 230 270 300 308	-465633395772
STPT(10)	1915873431462383891	0 2 36 38 78 80 120 122 156 158	-267958854450
TPT(14)	1915873469024980637	0 2 12 14 30 32 42 44 72 74 144 146 174 176	-230396257704
STPT(10)	1915873507655277587	0 2 84 86 132 134 180 182 264 266	-191765960754
SPT(16)	1915873534827468107	0 6 20 66 114 132 180 182 204 206 254 272 320 366 380 386	-164593770234
SPT(16)	1915873743919731623	0 44 48 96 98 104 110 114 140 144 150 156 158 206 210 254	44498493282
SPT(16)	1915873756621506883	0 18 60 106 120 154 160 168 196 204 210 244 258 304 346 364	57200268542
SPT(16)	1915874112816317971	0 18 36 70 126 136 142 150 238 246 252 262 318 352 370 388	413395079630
SPT(16)	1915874468415910867	0 40 96 100 124 126 144 264 316 436 454 456 480 484 540 580	768994672526
STPT(10)	1915874668545852491	0 2 36 38 78 80 120 122 156 158	969124614150