Prime p₀= 1049190574223526617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 28 2 28 2 52 2 28 2 (?)
a_n: 0 2 54 56 120 122 150 152 180 182 234 236 264 266
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: 266
Found by: stoneageman
db: batch=76, k=14, 52 64 28 28 52 28

STPT(10)	1049190206042584379	0 2 12 14 90 92 168 170 180 182	-368180942238
SPT(16)	1049190265960396583	0 20 44 56 90 140 176 200 300 324 360 410 444 456 480 500	-308263130034
TPT(14)	1049190434176840607	0 2 12 14 54 56 84 86 114 116 150 152 192 194	-140046686010
SPT(16)	1049190441403722263	0 48 50 60 90 104 156 164 210 218 270 284 314 324 326 374	-132819804354
STPT(10)	1049190542394820949	0 2 12 14 30 32 48 50 60 62	-31828705668
SPT(16)	1049190552810385789	0 30 72 82 100 108 144 154 168 178 214 222 240 250 292 322	-21413140828
SPT(16)	1049190947557502333	0 38 80 96 128 134 140 176 198 234 240 246 278 294 336 374	373333975716
STPT(10)	1049191194172171229	0 2 12 14 90 92 168 170 180 182	619948644612
SPT(16)	1049191216046125037	0 6 20 44 56 84 116 144 182 210 242 270 282 306 320 326	641822598420
STPT(10)	1049191651037385587	0 2 30 32 42 44 54 56 84 86	1076813858970
STPT(10)	1049191656231006287	0 2 24 26 42 44 60 62 84 86	1082007479670