Prime p₀= 725328763653120617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 40 2 34 2 40 2 40 2 (?)
a_n: 0 2 72 74 102 104 144 146 180 182 222 224 264 266
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: jozef j
db: batch=73, k=14, 70 28 40 34 40 40

SPT(16)	725327652956360513	0 20 38 44 54 80 98 104 114 120 138 164 174 180 198 218	-1110696760104
SPT(16)	725327754942262391	0 30 50 56 90 98 122 168 170 216 240 248 282 288 308 338	-1008710858226
STPT(10)	725327791648272467	0 2 54 56 72 74 90 92 144 146	-972004848150
SPT(16)	725327932672178387	0 2 54 60 62 74 132 144 182 194 252 264 266 272 324 326	-830980942230
STPT(10)	725328121212887711	0 2 96 98 138 140 180 182 276 278	-642440232906
SPT(20)	725328285779310449	0 18 42 48 108 122 144 162 192 210 242 260 290 308 330 344 404 410 434 452	-477873810168
SPT(16)	725328965899902109	0 30 42 64 102 162 210 264 298 352 400 460 498 520 532 562	202246781492
STPT(10)	725328993637201439	0 2 12 14 90 92 168 170 180 182	229984080822
SPT(16)	725329006070635667	0 2 30 44 86 116 120 134 162 176 180 210 252 266 294 296	242417515050
SPT(16)	725329633551566201	0 32 56 78 98 132 158 198 230 270 296 330 350 372 396 428	869898445584
SPT(16)	725329650557335489	0 4 24 54 72 112 130 138 154 162 180 220 238 268 288 292	886904214872