Prime p₀= 2029924125114676289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 28 2 34 2 40 2 16 2 (?)
a_n: 0 2 48 50 102 104 132 134 168 170 210 212 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 46 52 28 34 40 16

SPT(16)	2029921683878860913	0 30 56 60 108 116 180 194 240 254 318 326 374 378 404 434	-2441235815376
STPT(10)	2029922064848787869	0 2 42 44 90 92 138 140 180 182	-2060265888420
SPT(16)	2029922531885918557	0 54 60 82 94 112 130 144 160 174 192 210 222 244 250 304	-1593228757732
SPT(16)	2029923128554328849	0 44 90 132 140 164 200 234 248 282 318 342 350 392 438 482	-996560347440
STPT(10)	2029923209852335709	0 2 18 20 30 32 42 44 60 62	-915262340580
SPT(16)	2029923813448036307	0 50 62 72 84 96 120 126 140 146 170 182 194 204 216 266	-311666639982
SPT(16)	2029924247733390511	0 6 16 18 48 60 118 126 142 150 208 220 250 252 262 268	122618714222
STPT(10)	2029925063623897787	0 2 12 14 42 44 72 74 84 86	938509221498
STPT(10)	2029925107935274631	0 2 6 8 48 50 90 92 96 98	982820598342
SPT(16)	2029925215699287133	0 10 16 30 34 66 90 118 156 184 208 240 244 258 264 274	1090584610844
SPT(16)	2029925712090893899	0 24 102 130 142 148 172 184 198 210 234 240 252 280 358 382	1586976217610