Prime p₀= 2829454219210326971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 124 2 22 2 76 2 46 2 (?)
a_n: 0 2 6 8 30 32 156 158 180 182 258 260 306 308
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: 308
Found by: [SG-FC] hl
db: batch=82, k=14, 4 22 124 22 76 46

TPT(14)	2829452772863898539	0 2 12 14 42 44 180 182 210 212 360 362 378 380	-1446346428432
SPT(16)	2829452881297013549	0 2 14 18 74 102 138 162 260 284 320 348 404 408 420 422	-1337913313422
STPT(10)	2829453223170268991	0 2 6 8 18 20 30 32 36 38	-996040057980
SPT(16)	2829453369094281851	0 6 48 60 98 150 152 182 186 216 218 270 308 320 362 368	-850116045120
STPT(10)	2829453852984692081	0 2 30 32 78 80 126 128 156 158	-366225634890
SPT(16)	2829454147413799561	0 6 66 78 102 106 108 112 186 190 192 196 220 232 292 298	-71796527410
STPT(10)	2829454306335599609	0 2 18 20 30 32 42 44 60 62	87125272638
STPT(10)	2829454423484219849	0 2 42 44 90 92 138 140 180 182	204273892878
SPT(16)	2829454563873835981	0 40 70 96 130 166 208 222 226 240 282 318 352 378 408 448	344663509010
STPT(10)	2829454600801697411	0 2 6 8 48 50 90 92 96 98	381591370440
TPT(14)	2829454647341474459	0 2 138 140 150 152 168 170 228 230 240 242 312 314	428131147488