Prime p₀= 2829411903576877349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 40 2 40 2 4 2 40 2 (?)
a_n: 0 2 108 110 168 170 210 212 252 254 258 260 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 106 58 40 40 4 40

SPT(16)	2829409684181486779	0 10 24 42 52 102 130 142 162 174 202 252 262 280 294 304	-2219395390570
SPT(16)	2829410636502731713	0 4 6 28 34 76 120 144 190 214 258 300 306 328 330 334	-1267074145636
SPT(16)	2829410903579489987	0 42 72 80 90 116 150 174 242 266 300 326 336 344 374 416	-999997387362
STPT(10)	2829411129163351937	0 2 12 14 42 44 72 74 84 86	-774413525412
TPT(14)	2829411483166536449	0 2 60 62 198 200 228 230 252 254 282 284 348 350	-420410340900
SPT(16)	2829411625598638879	0 28 30 82 100 108 130 144 178 192 214 222 240 292 294 322	-277978238470
SPT(16)	2829411928176998551	0 6 48 72 132 142 150 162 226 238 246 256 316 340 382 388	24600121202
SPT(16)	2829412364160120691	0 30 42 58 88 112 130 138 142 150 168 192 222 238 250 280	460583243342
SPT(16)	2829412965277758023	0 20 66 68 110 114 140 170 234 264 290 294 336 338 384 404	1061700880674
SPT(16)	2829412986694336183	0 30 58 64 78 96 148 154 180 186 238 256 270 276 304 334	1083117458834
STPT(10)	2829413381496498581	0 2 36 38 78 80 120 122 156 158	1477919621232