Prime p₀= 2864784374919222449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 70 2 148 2 76 2 22 2 (?)
a_n: 0 2 72 74 108 110 180 182 330 332 408 410 432 434
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: 434
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 70 34 70 148 76 22

STPT(10)	2864783105087740169	0 2 12 14 90 92 168 170 180 182	-1269831482280
SPT(16)	2864783681218313233	0 16 46 58 66 96 106 166 168 228 238 268 276 288 318 334	-693700909216
SPT(16)	2864783708072291371	0 6 10 16 60 108 252 270 328 346 490 538 582 588 592 598	-666846931078
SPT(16)	2864783983374219887	0 74 114 120 126 164 270 276 380 386 492 530 536 542 582 656	-391545002562
SPT(16)	2864784034970891203	0 66 70 76 106 114 118 120 184 186 190 198 228 234 238 304	-339948331246
STPT(12)	2864784287562488969	0 2 18 20 60 62 150 152 192 194 210 212	-87356733480
SPT(16)	2864784425163726389	0 20 48 60 108 120 134 164 168 198 212 224 272 284 312 332	50244503940
SPT(16)	2864784868272515267	0 2 6 24 56 66 80 84 122 126 140 150 182 200 204 206	493353292818
SPT(16)	2864785101271035931	0 16 28 48 70 88 102 130 198 226 240 258 280 300 312 328	726351813482
TPT(14)	2864785415874001559	0 2 18 20 90 92 102 104 120 122 168 170 210 212	1040954779110
SPT(16)	2864786133768714923	0 14 48 56 66 84 144 146 228 230 290 308 318 326 360 374	1758849492474