Prime p₀= 2919627962240154299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 46 2 10 2 10 2 4 2 (?)
a_n: 0 2 78 80 120 122 168 170 180 182 192 194 198 200
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: 200
Found by: Landjunge
db: batch=82, k=14, 76 40 46 10 10 4

STPT(10)	2919625430910138569	0 2 48 50 90 92 132 134 180 182	-2531330015730
SPT(16)	2919625527837254501	0 18 56 62 128 200 212 240 308 336 348 420 486 492 530 548	-2434402899798
SPT(18)	2919625625524550141	0 12 26 80 86 90 96 132 140 162 170 206 212 216 222 276 290 302	-2336715604158
SPT(16)	2919625726320828341	0 26 32 42 66 68 110 150 218 258 300 302 326 336 342 368	-2235919325958
SPT(16)	2919626498785894757	0 26 54 104 110 114 116 140 186 210 212 216 222 272 300 326	-1463454259542
SPT(16)	2919627529185368203	0 4 10 94 154 166 178 180 184 186 198 210 270 354 360 364	-433054786096
STPT(10)	2919628073152068917	0 2 60 62 72 74 84 86 144 146	110911914618
TPT(14)	2919628209919725287	0 2 42 44 60 62 90 92 144 146 174 176 282 284	247679570988
STPT(10)	2919628478680894889	0 2 18 20 30 32 42 44 60 62	516440740590
SPT(16)	2919628699492263821	0 12 32 38 116 126 150 152 186 188 212 222 300 306 326 338	737252109522
TPT(14)	2919629002181089727	0 2 84 86 144 146 180 182 222 224 270 272 282 284	1039940935428