Prime p₀= 2079736353993259811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 16 2 40 2 10 2 4 2 40 2 (?)
a_n: 0 2 48 50 66 68 108 110 120 122 126 128 168 170
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: 170
Found by: Landjunge
db: batch=80, k=14, 46 16 40 10 4 40

TPT(14)	2079735350682772421	0 2 60 62 156 158 240 242 246 248 288 290 300 302	-1003310487390
SPT(16)	2079735537557270921	0 18 26 56 86 116 138 152 216 230 252 282 312 342 350 368	-816435988890
SPT(16)	2079735567290231519	0 8 18 32 78 92 128 132 170 174 210 224 270 284 294 302	-786703028292
SPT(16)	2079735685609308887	0 30 42 80 86 90 102 156 200 254 266 270 276 314 326 356	-668383950924
SPT(16)	2079735972210050173	0 34 84 88 108 154 174 210 214 250 270 316 336 340 390 424	-381783209638
STPT(10)	2079736012182283457	0 2 30 32 72 74 114 116 144 146	-341810976354
SPT(16)	2079736394041643261	0 26 30 56 72 92 156 162 176 182 246 266 282 308 312 338	40048383450
STPT(10)	2079736493765651429	0 2 42 44 60 62 78 80 120 122	139772391618
SPT(16)	2079736796748012403	0 16 40 46 58 60 66 70 84 88 94 96 108 114 138 154	442754752592
SPT(16)	2079737101398523313	0 6 66 84 116 134 200 204 230 234 300 318 350 368 428 434	747405263502
STPT(10)	2079737372112173531	0 2 6 8 18 20 30 32 36 38	1018118913720