Prime p₀= 2499502351065303629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 58 2 22 2 34 2 202 2 4 2 (?)
a_n: 0 2 48 50 108 110 132 134 168 170 372 374 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 46 58 22 34 202 4

SPT(16)	2499501924966669047	0 6 20 24 84 96 150 152 174 176 230 242 302 306 320 326	-426098634582
SPT(16)	2499501970125080969	0 12 44 54 90 138 152 164 198 210 224 272 308 318 350 362	-380940222660
STPT(10)	2499502031145491891	0 2 30 32 78 80 126 128 156 158	-319919811738
SPT(16)	2499502112990055779	0 42 62 102 134 140 210 222 260 272 342 348 380 420 440 482	-238075247850
SPT(16)	2499502311617011187	0 14 50 56 60 114 116 126 170 180 182 236 240 246 282 296	-39448292442
STPT(10)	2499502335820945751	0 2 6 8 18 20 30 32 36 38	-15244357878
SPT(16)	2499502360729691981	0 6 26 30 42 60 72 102 110 140 152 170 182 186 206 212	9664388352
SPT(16)	2499502395553616963	0 20 144 158 180 188 206 224 240 258 276 284 306 320 444 464	44488313334
SPT(18)	2499502457588346703	0 28 54 64 70 106 138 168 190 264 286 316 348 384 390 400 426 454	106523043074
SPT(16)	2499502859950534637	0 12 20 42 86 104 110 132 134 156 162 180 224 246 254 266	508885231008
SPT(16)	2499503084461076599	0 48 90 118 148 190 198 220 258 280 288 330 360 388 430 478	733395772970