Prime p₀= 1563676067306867357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 40 2 58 2 64 2 10 2 (?)
a_n: 0 2 60 62 72 74 114 116 174 176 240 242 252 254
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: 254
Found by: samuraiii
db: batch=78, k=14, 58 10 40 58 64 10

SPT(16)	1563675597630251351	0 2 12 68 72 86 110 122 156 168 192 206 210 266 276 278	-469676616006
SPT(16)	1563675648988711319	0 20 50 90 92 98 120 152 168 200 222 228 230 270 300 320	-418318156038
STPT(10)	1563675730513461527	0 2 54 56 132 134 210 212 264 266	-336793405830
SPT(16)	1563675881829676999	0 10 28 30 72 88 132 142 168 178 222 238 280 282 300 310	-185477190358
SPT(16)	1563675905877097951	0 16 100 126 138 142 162 190 228 256 276 280 292 318 402 418	-161429769406
STPT(10)	1563675916218205577	0 2 60 62 72 74 84 86 144 146	-151088661780
TPT(14)	1563676268836736099	0 2 78 80 138 140 180 182 192 194 258 260 342 344	201529868742
STPT(10)	1563676672938991487	0 2 30 32 60 62 90 92 120 122	605632124130
SPT(16)	1563676895667830599	0 12 54 60 78 82 94 174 208 288 300 304 322 328 370 382	828360963242
SPT(16)	1563676957083517747	0 64 70 84 106 136 144 162 184 202 210 240 262 276 282 346	889776650390
SPT(16)	1563677204354348401	0 28 30 70 76 90 136 148 168 180 226 240 246 286 288 316	1137047481044