Prime p₀= 2069576527816025729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 106 2 10 2 58 2 106 2 (?)
a_n: 0 2 48 50 90 92 198 200 210 212 270 272 378 380
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: 380
Found by: matsu_pl
db: batch=80, k=14, 46 40 106 10 58 106

SPT(16)	2069575594514727529	0 42 72 94 112 150 154 174 178 198 202 240 258 280 310 352	-933301298200
STPT(10)	2069575744495642049	0 2 18 20 30 32 42 44 60 62	-783320383680
SPT(16)	2069575769338819597	0 4 22 36 84 94 114 120 136 142 162 172 220 234 252 256	-758477206132
SPT(16)	2069576146562279801	0 20 32 80 90 102 110 116 132 138 146 158 168 216 228 248	-381253745928
STPT(10)	2069576170165818929	0 2 18 20 30 32 42 44 60 62	-357650206800
STPT(10)	2069576412458489687	0 2 30 32 42 44 54 56 84 86	-115357536042
STPT(10)	2069576720308297001	0 2 6 8 48 50 90 92 96 98	192492271272
SPT(16)	2069576815314111709	0 22 58 112 144 154 162 168 244 250 258 268 300 354 390 412	287498085980
SPT(16)	2069576837684708831	0 12 26 42 78 90 146 152 156 162 218 230 266 282 296 308	309868683102
STPT(10)	2069577475704534581	0 2 30 32 78 80 126 128 156 158	947888508852
SPT(16)	2069577688768335401	0 56 78 102 108 126 132 248 330 446 452 470 476 500 522 578	1160952309672