Prime p₀= 2950407321918230849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 58 2 28 2 40 2 160 2 (?)
a_n: 0 2 42 44 48 50 108 110 138 140 180 182 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 40 4 58 28 40 160

SPT(16)	2950406707104744443	0 8 14 26 54 56 96 180 194 278 318 320 348 360 366 374	-614813486406
STPT(10)	2950406925431126267	0 2 12 14 42 44 72 74 84 86	-396487104582
SPT(16)	2950407116745206059	0 118 120 130 148 154 174 208 210 244 264 270 288 298 300 418	-205173024790
SPT(16)	2950407126932328961	0 22 36 52 108 130 172 186 262 276 318 340 396 412 426 448	-194985901888
STPT(10)	2950407229819605419	0 2 42 44 90 92 138 140 180 182	-92098625430
STPT(10)	2950407237861216389	0 2 12 14 90 92 168 170 180 182	-84057014460
SPT(16)	2950407337186208579	0 12 42 78 92 110 138 144 158 164 192 210 224 260 290 302	15267977730
STPT(10)	2950408574932485377	0 2 60 62 72 74 84 86 144 146	1253014254528
SPT(16)	2950408929133782817	0 46 52 100 120 126 136 142 150 156 166 172 192 240 246 292	1607215551968
STPT(10)	2950409180218899977	0 2 30 32 42 44 54 56 84 86	1858300669128
SPT(16)	2950409502380038493	0 60 90 104 110 204 266 306 308 348 410 504 510 524 554 614	2180461807644