Prime p₀= 1257843455190794609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 40 2 106 2 28 2 22 2 (?)
a_n: 0 2 12 14 18 20 60 62 168 170 198 200 222 224
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: 224
Found by: Theadalus
db: batch=77, k=14, 10 4 40 106 28 22

SPT(20)	1257842773046451859	0 22 42 54 112 130 144 154 172 220 222 270 288 298 312 330 388 400 420 442	-682144342750
SPT(16)	1257842812395341243	0 30 54 56 60 66 80 110 114 144 158 164 168 170 194 224	-642795453366
TPT(14)	1257842885894830559	0 2 42 44 102 104 120 122 132 134 198 200 228 230	-569295964050
SPT(16)	1257843031090648111	0 22 28 36 72 90 102 148 180 226 238 256 292 300 306 328	-424100146498
SPT(16)	1257843260199998917	0 30 54 106 130 142 156 190 246 280 294 306 330 382 406 436	-194990795692
SPT(16)	1257843304396050863	0 14 18 38 44 116 126 156 248 278 288 360 366 386 390 404	-150794743746
SPT(16)	1257843625448475187	0 52 66 70 72 84 154 180 196 222 292 304 306 310 324 376	170257680578
STPT(12)	1257843632431505087	0 2 12 14 90 92 132 134 210 212 222 224	177240710478
STPT(10)	1257843706994704901	0 2 30 32 78 80 126 128 156 158	251803910292
SPT(16)	1257843842139779299	0 10 54 72 82 124 132 150 202 220 228 270 280 298 342 352	386948984690
SPT(16)	1257844019026630927	0 16 24 66 124 126 132 154 162 184 190 192 250 292 300 316	563835836318