Prime p₀= 2658907035222397577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 82 2 148 2 34 2 118 2 112 2 (?)
a_n: 0 2 60 62 144 146 294 296 330 332 450 452 564 566
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: 566
Found by: Asgard2022
db: batch=82, k=14, 58 82 148 34 118 112

STPT(10)	2658905569342851971	0 2 6 8 18 20 30 32 36 38	-1465879545606
SPT(16)	2658905633019249353	0 6 24 38 48 98 120 138 146 164 186 236 246 260 278 284	-1402203148224
STPT(10)	2658906110491965239	0 2 42 44 90 92 138 140 180 182	-924730432338
SPT(16)	2658906238203382273	0 10 66 78 96 148 168 226 288 346 366 418 436 448 504 514	-797019015304
STPT(10)	2658906315868886189	0 2 78 80 120 122 162 164 240 242	-719353511388
SPT(16)	2658906615807575597	0 2 6 84 90 104 144 182 204 242 282 296 302 380 384 386	-419414821980
STPT(10)	2658907056818008259	0 2 48 50 90 92 132 134 180 182	21595610682
TPT(14)	2658907440025325717	0 2 42 44 54 56 60 62 72 74 90 92 114 116	404802928140
SPT(16)	2658907499090792393	0 36 44 54 68 90 134 140 204 210 254 276 290 300 308 344	463868394816
STPT(10)	2658907944487777637	0 2 12 14 72 74 132 134 144 146	909265380060
SPT(16)	2658908342476418191	0 52 82 90 132 208 238 262 276 300 330 406 448 456 486 538	1307254020614