Prime p₀= 809703419195745287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 130 2 4 2 70 2 76 2 10 2 (?)
a_n: 0 2 42 44 174 176 180 182 252 254 330 332 342 344
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: 344
Found by: marsinph
db: batch=73, k=14, 40 130 4 70 76 10

STPT(10)	809702717775675569	0 2 18 20 30 32 42 44 60 62	-701420069718
SPT(16)	809702948168319431	0 36 50 62 72 140 182 198 230 246 288 356 366 378 392 428	-471027425856
SPT(16)	809703048998033027	0 26 32 36 50 60 74 162 164 252 266 276 290 294 300 326	-370197712260
SPT(16)	809703214007077331	0 2 6 68 90 120 156 168 230 242 278 308 330 392 396 398	-205188667956
STPT(10)	809703217875059867	0 2 60 62 72 74 84 86 144 146	-201320685420
SPT(20)	809703317337158557	0 52 66 70 76 82 132 150 166 180 202 216 232 250 300 306 312 316 330 382	-101858586730
SPT(16)	809704045937798987	0 6 26 72 84 156 192 206 240 254 290 362 374 420 440 446	626742053700
SPT(16)	809704065408062299	0 18 24 40 94 114 142 154 168 180 208 228 282 298 304 322	646212317012
SPT(16)	809704598750411383	0 4 24 66 94 108 120 130 144 154 166 180 208 250 270 274	1179554666096
TPT(14)	809704629001977251	0 2 30 32 48 50 96 98 156 158 168 170 186 188	1209806231964
TPT(14)	809704856797171331	0 2 6 8 96 98 120 122 126 128 138 140 150 152	1437601426044