Prime p₀= 2044740026822178767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 118 2 10 2 16 2 58 2 (?)
a_n: 0 2 72 74 90 92 210 212 222 224 240 242 300 302
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: 302
Found by: Landjunge
db: batch=80, k=14, 70 16 118 10 16 58

SPT(16)	2044739045131249279	0 40 42 72 82 112 138 142 168 172 198 228 238 268 270 310	-981690929488
SPT(16)	2044739098303260523	0 10 48 64 94 108 138 178 180 220 250 264 294 310 348 358	-928518918244
SPT(16)	2044739102618261507	0 24 72 84 86 122 150 156 230 236 264 300 302 314 362 386	-924203917260
STPT(10)	2044739350643895077	0 2 42 44 72 74 102 104 144 146	-676178283690
SPT(16)	2044739413226683991	0 2 38 60 108 126 140 156 242 258 272 290 338 360 396 398	-613595494776
SPT(16)	2044739758930391113	0 6 28 34 48 66 78 96 148 166 178 196 210 216 238 244	-267891787654
STPT(10)	2044740725721780209	0 2 12 14 30 32 48 50 60 62	698899601442
STPT(10)	2044740818459840489	0 2 18 20 30 32 42 44 60 62	791637661722
STPT(10)	2044741102135750817	0 2 30 32 42 44 54 56 84 86	1075313572050
SPT(16)	2044741166966693879	0 78 92 162 258 260 288 290 360 362 390 392 488 558 572 650	1140144515112
STPT(10)	2044741460547624101	0 2 6 8 48 50 90 92 96 98	1433725445334