Prime p₀= 1364953036174037069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 40 2 10 2 46 2 10 2 (?)
a_n: 0 2 60 62 168 170 210 212 222 224 270 272 282 284
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: Theadalus
db: batch=77, k=14, 58 106 40 10 46 10

STPT(10)	1364950488188327837	0 2 24 26 42 44 60 62 84 86	-2547985709232
SPT(16)	1364950859573780201	0 6 50 66 92 116 126 156 176 206 216 240 266 282 326 332	-2176600256868
SPT(16)	1364950971167783663	0 6 20 24 66 86 104 126 188 210 228 248 290 294 308 314	-2065006253406
TPT(14)	1364951682382678931	0 2 60 62 126 128 156 158 210 212 270 272 456 458	-1353791358138
STPT(10)	1364952442575873467	0 2 30 32 42 44 54 56 84 86	-593598163602
STPT(10)	1364952647134862867	0 2 54 56 72 74 90 92 144 146	-389039174202
STPT(10)	1364953355820481727	0 2 24 26 42 44 60 62 84 86	319646444658
SPT(16)	1364953793598717523	0 24 28 36 78 136 208 210 214 216 288 346 388 396 400 424	757424680454
SPT(16)	1364954211515877397	0 16 22 34 52 70 76 106 120 150 156 174 192 204 210 226	1175341840328
STPT(10)	1364954441330184347	0 2 30 32 42 44 54 56 84 86	1405156147278
SPT(16)	1364954469224613731	0 6 18 32 60 90 98 120 128 150 158 188 216 230 242 248	1433050576662