Prime p₀= 2076915147774059639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 28 2 40 2 40 2 16 2 (?)
a_n: 0 2 60 62 138 140 168 170 210 212 252 254 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 58 76 28 40 40 16

SPT(16)	2076914452953108523	0 10 54 84 108 130 144 150 244 250 264 286 310 340 384 394	-694820951116
STPT(10)	2076914758147008749	0 2 12 14 30 32 48 50 60 62	-389627050890
STPT(10)	2076914791126474667	0 2 30 32 42 44 54 56 84 86	-356647584972
TPT(14)	2076915007646470349	0 2 42 44 78 80 138 140 180 182 198 200 210 212	-140127589290
TPT(14)	2076915052129299959	0 2 42 44 150 152 192 194 210 212 288 290 300 302	-95644759680
STPT(10)	2076915084138319949	0 2 18 20 30 32 42 44 60 62	-63635739690
TPT(14)	2076915351942703187	0 2 54 56 60 62 84 86 144 146 192 194 222 224	204168643548
SPT(16)	2076915404684126551	0 18 96 130 138 160 168 238 318 388 396 418 426 460 538 556	256910066912
SPT(16)	2076916440345038053	0 40 60 94 156 160 186 196 198 208 234 238 300 334 354 394	1292570978414
SPT(16)	2076916748765158673	0 8 14 18 48 74 80 90 158 168 174 200 230 234 240 248	1600991099034
SPT(16)	2076916917424941061	0 22 28 88 112 150 156 192 226 262 268 306 330 390 396 418	1769650881422