Prime p₀= 1563676268836736099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 40 2 10 2 64 2 82 2 (?)
a_n: 0 2 78 80 138 140 180 182 192 194 258 260 342 344
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: 344
Found by: samuraiii
db: batch=78, k=14, 76 58 40 10 64 82

SPT(16)	1563675648988711319	0 20 50 90 92 98 120 152 168 200 222 228 230 270 300 320	-619848024780
STPT(10)	1563675730513461527	0 2 54 56 132 134 210 212 264 266	-538323274572
SPT(16)	1563675881829676999	0 10 28 30 72 88 132 142 168 178 222 238 280 282 300 310	-387007059100
SPT(16)	1563675905877097951	0 16 100 126 138 142 162 190 228 256 276 280 292 318 402 418	-362959638148
STPT(10)	1563675916218205577	0 2 60 62 72 74 84 86 144 146	-352618530522
TPT(14)	1563676067306867357	0 2 60 62 72 74 114 116 174 176 240 242 252 254	-201529868742
STPT(10)	1563676672938991487	0 2 30 32 60 62 90 92 120 122	404102255388
SPT(16)	1563676895667830599	0 12 54 60 78 82 94 174 208 288 300 304 322 328 370 382	626831094500
SPT(16)	1563676957083517747	0 64 70 84 106 136 144 162 184 202 210 240 262 276 282 346	688246781648
SPT(16)	1563677204354348401	0 28 30 70 76 90 136 148 168 180 226 240 246 286 288 316	935517612302
STPT(10)	1563677213802618329	0 2 18 20 30 32 42 44 60 62	944965882230