Prime p₀= 760394261438436587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 28 2 34 2 40 2 28 2 58 2 (?)
a_n: 0 2 144 146 174 176 210 212 252 254 282 284 342 344
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: [SETI.USA]Tank_Master
db: batch=73, k=14, 142 28 34 40 28 58

TPT(14)	760393323254916047	0 2 72 74 102 104 132 134 180 182 240 242 300 302	-938183520540
STPT(10)	760393591250536499	0 2 12 14 90 92 168 170 180 182	-670187900088
SPT(16)	760393968367569743	0 18 36 54 56 84 98 128 186 216 230 258 260 278 296 314	-293070866844
SPT(16)	760394090380824973	0 16 28 36 40 124 126 154 210 238 240 324 328 336 348 364	-171057611614
TPT(14)	760394157233340779	0 2 42 44 78 80 132 134 162 164 210 212 312 314	-104205095808
STPT(10)	760394229272846807	0 2 60 62 72 74 84 86 144 146	-32165589780
STPT(10)	760394486644606571	0 2 6 8 18 20 30 32 36 38	225206169984
TPT(14)	760394547807851447	0 2 30 32 54 56 72 74 150 152 192 194 240 242	286369414860
SPT(16)	760394594099765623	0 34 88 124 154 190 204 208 216 220 234 270 300 336 390 424	332661329036
SPT(16)	760394756505888773	0 26 66 78 146 206 230 258 296 324 348 408 476 488 528 554	495067452186
SPT(16)	760394976092830453	0 6 58 130 168 190 198 258 268 328 336 358 396 468 520 526	714654393866