Prime p₀= 2759165701065009347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 40 2 130 2 34 2 (?)
a_n: 0 2 12 14 42 44 60 62 102 104 234 236 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 10 28 16 40 130 34

SPT(16)	2759164960439434297	0 24 66 72 106 150 196 216 220 240 286 330 364 370 412 436	-740625575050
STPT(10)	2759165012103981599	0 2 18 20 30 32 42 44 60 62	-688961027748
TPT(14)	2759165230401233777	0 2 30 32 54 56 90 92 102 104 222 224 294 296	-470663775570
STPT(10)	2759165311361444147	0 2 30 32 42 44 54 56 84 86	-389703565200
SPT(16)	2759165509980032327	0 26 54 114 146 170 194 224 282 312 336 360 392 452 480 506	-191084977020
SPT(16)	2759165646332177491	0 10 36 48 58 76 90 120 148 178 192 210 220 232 258 268	-54732831856
STPT(10)	2759165786484413849	0 2 48 50 90 92 132 134 180 182	85419404502
SPT(16)	2759165853573680281	0 12 16 22 42 48 52 58 90 96 100 106 126 132 136 148	152508670934
SPT(16)	2759165921247013703	0 14 18 36 50 78 90 96 188 194 206 234 248 266 270 284	220182004356
SPT(16)	2759166286066264733	0 66 80 86 168 180 198 200 204 206 224 236 318 324 338 404	585001255386
TPT(14)	2759166474911040827	0 2 120 122 180 182 294 296 372 374 462 464 504 506	773846031480