Prime p₀= 1578615070690483697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 112 2 34 2 10 2 58 2 (?)
a_n: 0 2 54 56 60 62 174 176 210 212 222 224 282 284
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: 284
Found by: xii5ku
db: batch=78, k=14, 52 4 112 34 10 58

STPT(10)	1578612287289836759	0 2 30 32 120 122 210 212 240 242	-2783400646938
SPT(16)	1578612645981660869	0 12 32 38 54 110 152 182 210 240 282 338 354 360 380 392	-2424708822828
SPT(16)	1578613404948308063	0 14 90 96 140 170 210 228 236 254 294 324 368 374 450 464	-1665742175634
STPT(10)	1578613866934914149	0 2 18 20 30 32 42 44 60 62	-1203755569548
STPT(10)	1578614389986657731	0 2 36 38 78 80 120 122 156 158	-680703825966
SPT(16)	1578615047139690523	0 54 64 90 96 106 124 144 196 216 234 244 250 276 286 340	-23550793174
TPT(14)	1578615708708126419	0 2 78 80 168 170 198 200 258 260 282 284 372 374	638017642722
TPT(14)	1578615918048953471	0 2 6 8 156 158 216 218 228 230 240 242 288 290	847358469774
SPT(16)	1578616214567527181	0 12 26 50 56 92 140 156 182 198 246 282 288 312 326 338	1143877043484
SPT(16)	1578616228542082937	0 12 74 102 114 210 230 240 284 294 314 410 422 450 512 524	1157851599240
SPT(20)	1578616385871785093	0 54 74 78 84 114 150 164 176 194 210 228 240 254 290 320 326 330 350 404	1315181301396