Prime p₀= 798691881646062527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 10 2 76 2 40 2 (?)
a_n: 0 2 12 14 54 56 90 92 102 104 180 182 222 224
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: 224
Found by: scrap
db: batch=73, k=14, 10 40 34 10 76 40

STPT(10)	798690972846181697	0 2 42 44 72 74 102 104 144 146	-908799880830
SPT(16)	798691245141439379	0 30 38 42 44 80 92 98 114 120 132 168 170 174 182 212	-636504623148
STPT(10)	798691327198195049	0 2 12 14 90 92 168 170 180 182	-554447867478
TPT(16)	798691458249161441	0 2 30 32 96 98 150 152 156 158 228 230 336 338 360 362	-423396901086
SPT(16)	798691532573340841	0 12 40 100 102 112 156 172 180 196 240 250 252 312 340 352	-349072721686
SPT(16)	798691759847227249	0 58 72 78 82 84 94 112 120 138 148 150 154 160 174 232	-121798835278
STPT(10)	798692108416219349	0 2 12 14 90 92 168 170 180 182	226770156822
TPT(14)	798692182837327841	0 2 18 20 30 32 108 110 168 170 240 242 360 362	301191265314
TPT(16)	798692368957111829	0 2 30 32 102 104 168 170 180 182 210 212 228 230 252 254	487311049302
STPT(10)	798692990385723479	0 2 12 14 90 92 168 170 180 182	1108739660952
SPT(16)	798693029486192513	0 8 18 24 36 50 56 60 74 78 84 98 110 116 126 134	1147840129986