Prime p₀= 2850615539130813107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 34 2 70 2 28 2 (?)
a_n: 0 2 12 14 24 26 54 56 90 92 162 164 192 194
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: 194
Found by: JohnMD
db: batch=82, k=14, 10 10 28 34 70 28

SPT(16)	2850613066353125167	0 22 64 90 100 184 190 196 210 216 222 306 316 342 384 406	-2472777687940
STPT(10)	2850613191940238297	0 2 60 62 72 74 84 86 144 146	-2347190574810
STPT(10)	2850613536020383031	0 2 96 98 108 110 120 122 216 218	-2003110430076
SPT(16)	2850613703457662357	0 12 26 36 42 54 116 140 186 210 272 284 290 300 314 326	-1835673150750
SPT(16)	2850614265049620283	0 16 78 84 88 118 120 130 144 154 156 186 190 196 258 274	-1274081192824
STPT(10)	2850614621499565157	0 2 12 14 42 44 72 74 84 86	-917631247950
SPT(16)	2850616027402313851	0 52 72 106 118 150 168 186 202 220 238 270 282 316 336 388	488271500744
STPT(10)	2850616200672441077	0 2 30 32 60 62 90 92 120 122	661541627970
STPT(10)	2850616592407329971	0 2 36 38 78 80 120 122 156 158	1053276516864
STPT(10)	2850616718000269847	0 2 30 32 72 74 114 116 144 146	1178869456740
SPT(16)	2850616958224877059	0 12 22 54 84 88 100 130 162 192 204 208 238 270 280 292	1419094063952