Prime p₀= 2471307628716477827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 22 2 46 2 208 2 10 2 (?)
a_n: 0 2 84 86 150 152 174 176 222 224 432 434 444 446
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: 446
Found by: [SG-FC] hl
db: batch=82, k=14, 82 64 22 46 208 10

SPT(16)	2471305996662786653	0 6 60 90 116 138 156 198 266 308 326 348 374 404 458 464	-1632053691174
TPT(14)	2471306402618465519	0 2 30 32 90 92 120 122 132 134 228 230 252 254	-1226098012308
TPT(14)	2471306488680418199	0 2 42 44 72 74 108 110 180 182 222 224 228 230	-1140036059628
SPT(16)	2471307366851128237	0 4 42 54 70 82 84 124 132 172 174 186 202 214 252 256	-261865349590
SPT(16)	2471307514934084929	0 40 42 112 142 148 160 174 238 252 264 270 300 370 372 412	-113782392898
SPT(16)	2471307593829382067	0 14 30 44 86 90 144 152 204 212 266 270 312 326 342 356	-34887095760
SPT(16)	2471307669281442031	0 40 52 60 82 108 132 178 210 256 280 306 328 336 348 388	40564964204
SPT(16)	2471307718134623353	0 58 66 94 96 100 118 196 198 276 294 298 300 328 336 394	89418145526
SPT(16)	2471307911207233421	0 8 26 36 42 56 68 92 156 180 192 206 212 222 240 248	282490755594
SPT(18)	2471307976614184559	0 12 38 42 54 74 98 132 158 174 200 234 258 278 290 294 320 332	347897706732
SPT(16)	2471308839043303747	0 4 24 54 64 90 96 124 132 160 166 192 202 232 252 256	1210326825920