Prime p₀= 3023850639485068577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 46 2 10 2 136 2 52 2 (?)
a_n: 0 2 42 44 72 74 120 122 132 134 270 272 324 326
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: Asgard2022
db: batch=82, k=14, 40 28 46 10 136 52

STPT(10)	3023847949176414359	0 2 18 20 30 32 42 44 60 62	-2690308654218
SPT(16)	3023848590618762623	0 30 78 96 98 120 254 264 290 300 434 456 458 476 524 554	-2048866305954
SPT(16)	3023849401260861731	0 6 8 48 60 98 150 152 216 218 270 308 320 360 362 368	-1238224206846
STPT(10)	3023849726562982307	0 2 12 14 42 44 72 74 84 86	-912922086270
SPT(16)	3023850012579149311	0 12 46 76 82 120 126 180 238 292 298 336 342 372 406 418	-626905919266
STPT(10)	3023850376779449687	0 2 30 32 42 44 54 56 84 86	-262705618890
SPT(16)	3023850707035399121	0 12 20 72 102 192 248 290 300 342 398 488 518 570 578 590	67550330544
SPT(16)	3023851043384230357	0 6 36 46 60 102 114 126 160 172 184 226 240 250 280 286	403899161780
STPT(10)	3023851080730460777	0 2 30 32 42 44 54 56 84 86	441245392200
SPT(16)	3023851367877292279	0 12 42 88 90 130 132 144 148 160 162 202 204 250 280 292	728392223702
TPT(14)	3023851395278764019	0 2 48 50 90 92 180 182 222 224 300 302 312 314	755793695442