Prime p₀= 2491809020678038667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 148 2 28 2 22 2 4 2 10 2 (?)
a_n: 0 2 60 62 210 212 240 242 264 266 270 272 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 58 148 28 22 4 10

SPT(16)	2491807164530325041	0 12 30 32 50 72 86 102 110 126 140 162 180 182 200 212	-1856147713626
SPT(16)	2491807626418935091	0 16 22 102 106 112 120 148 150 178 186 192 196 276 282 298	-1394259103576
STPT(10)	2491807644266726711	0 2 30 32 78 80 126 128 156 158	-1376411311956
STPT(10)	2491807705512208409	0 2 18 20 30 32 42 44 60 62	-1315165830258
STPT(10)	2491808554030781717	0 2 30 32 42 44 54 56 84 86	-466647256950
STPT(10)	2491808987777532419	0 2 42 44 150 152 258 260 300 302	-32900506248
STPT(10)	2491809613582248929	0 2 12 14 30 32 48 50 60 62	592904210262
SPT(16)	2491809682831363129	0 28 34 42 48 72 78 112 120 154 160 184 190 198 204 232	662153324462
STPT(10)	2491809871446180581	0 2 6 8 18 20 30 32 36 38	850768141914
SPT(16)	2491809929995416523	0 34 96 100 124 138 160 174 190 204 226 240 264 268 330 364	909317377856
STPT(10)	2491810216294068557	0 2 24 26 42 44 60 62 84 86	1195616029890