Prime p₀= 4503896172842028377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 46 2 40 2 208 2 10 2 (?)
a_n: 0 2 60 62 72 74 120 122 162 164 372 374 384 386
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: 386
Found by: Antares2022
db: batch=85, k=14, 58 10 46 40 208 10

SPT(16)	4503895194375347237	0 26 74 80 96 122 152 180 206 234 264 290 306 312 360 386	-978466681140
SPT(16)	4503895227608328437	0 44 62 74 84 90 110 132 224 246 266 272 282 294 312 356	-945233699940
STPT(10)	4503895613950070837	0 2 42 44 72 74 102 104 144 146	-558891957540
STPT(10)	4503895728677819867	0 2 30 32 42 44 54 56 84 86	-444164208510
SPT(16)	4503895784982940193	0 38 80 96 144 168 224 264 350 390 446 470 518 534 576 614	-387859088184
STPT(10)	4503895882960038119	0 2 18 20 60 62 102 104 120 122	-289881990258
SPT(16)	4503896531446346357	0 30 42 50 66 72 92 96 110 114 134 140 156 164 176 206	358604317980
SPT(16)	4503896922365197979	0 138 180 188 224 234 242 270 272 300 308 318 354 362 404 542	749523169602
SPT(16)	4503897449820494329	0 10 30 58 88 108 118 172 198 252 262 282 312 340 360 370	1276978465952
TPT(14)	4503897455967076961	0 2 66 68 138 140 180 182 336 338 378 380 510 512	1283125048584
SPT(16)	4503897567435252281	0 12 36 50 72 162 168 236 252 320 326 416 438 452 476 488	1394593223904