Prime p₀= 2854677420094006229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 82 2 28 2 64 2 40 2 (?)
a_n: 0 2 30 32 48 50 132 134 162 164 228 230 270 272
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: [SG-FC] hl
db: batch=82, k=14, 28 16 82 28 64 40

SPT(16)	2854675815956439151	0 6 28 52 106 112 118 132 196 210 216 222 276 300 322 328	-1604137567078
SPT(16)	2854675839858356201	0 8 36 42 72 146 188 212 246 270 312 386 416 422 450 458	-1580235650028
TPT(14)	2854676497662709787	0 2 60 62 90 92 144 146 174 176 240 242 300 302	-922431296442
SPT(16)	2854676740118548531	0 28 42 82 142 160 190 198 250 258 288 306 366 406 420 448	-679975457698
SPT(16)	2854677057724663763	0 8 14 30 60 78 98 140 174 216 236 254 284 300 306 314	-362369342466
STPT(10)	2854677308786831579	0 2 18 20 30 32 42 44 60 62	-111307174650
SPT(16)	2854677644035110631	0 12 106 150 180 202 238 280 288 330 366 388 418 462 556 568	223941104402
SPT(16)	2854678093556105221	0 12 18 52 58 72 100 132 136 168 196 210 216 250 256 268	673462098992
STPT(10)	2854678160197028489	0 2 42 44 60 62 78 80 120 122	740103022260
STPT(10)	2854678673381644001	0 2 6 8 48 50 90 92 96 98	1253287637772
STPT(10)	2854678760146065701	0 2 30 32 60 62 90 92 120 122	1340052059472