Prime p₀= 2082478455977827007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 88 2 64 2 40 2 40 2 (?)
a_n: 0 2 60 62 84 86 174 176 240 242 282 284 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 58 22 88 64 40 40

SPT(16)	2082476593468456453	0 6 10 30 34 36 64 94 126 156 184 186 190 210 214 220	-1862509370554
STPT(10)	2082476936718862349	0 2 120 122 180 182 240 242 360 362	-1519258964658
SPT(16)	2082477769955956229	0 42 54 108 128 152 198 264 278 344 390 414 434 488 500 542	-686021870778
SPT(16)	2082478070419956551	0 56 80 150 170 228 242 272 276 306 320 378 398 468 492 548	-385557870456
SPT(13)	2082478071555473269	0 42 60 144 150 174 192 210 234 240 324 342 384	-384422353738
STPT(10)	2082478404478154867	0 2 30 32 60 62 90 92 120 122	-51499672140
STPT(12)	2082478925144317877	0 2 60 62 90 92 114 116 144 146 204 206	469166490870
SPT(18)	2082479162438096101	0 30 58 70 72 102 108 210 228 232 250 352 358 388 390 402 430 460	706460269094
STPT(10)	2082479273365960289	0 2 18 20 30 32 42 44 60 62	817388133282
SPT(16)	2082479523130276271	0 2 18 36 66 86 102 108 170 176 192 212 242 260 276 278	1067152449264
SPT(16)	2082479608776315649	0 24 42 54 94 112 168 172 270 274 330 348 388 400 418 442	1152798488642