Prime p₀= 1014042338428470227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 106 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 162 164 270 272 282 284 294 296 324 326
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: 326
Found by: stoneageman
db: batch=76, k=14, 28 130 106 10 10 28

SPT(16)	1014041138788418863	0 28 36 70 150 196 310 376 390 456 570 616 696 730 738 766	-1199640051364
TPT(14)	1014041667108979217	0 2 42 44 60 62 90 92 102 104 132 134 144 146	-671319491010
SPT(16)	1014041685634912279	0 4 28 64 94 102 118 120 142 144 160 168 198 234 258 262	-652793557948
STPT(10)	1014041895786183359	0 2 18 20 30 32 42 44 60 62	-442642286868
SPT(16)	1014042153623378963	0 44 80 98 110 116 146 224 240 318 348 354 366 384 420 464	-184805091264
STPT(10)	1014042282906886559	0 2 18 20 30 32 42 44 60 62	-55521583668
SPT(16)	1014042384179371357	0 16 30 66 70 90 126 142 150 166 202 222 226 262 276 292	45750901130
STPT(10)	1014042500600809481	0 2 6 8 48 50 90 92 96 98	162172339254
SPT(16)	1014042623045200963	0 48 84 130 186 190 210 294 400 484 504 508 564 610 646 694	284616730736
SPT(16)	1014043099746575177	0 14 42 104 146 156 206 240 266 300 350 360 402 464 492 506	761318104950
SPT(16)	1014043121714350933	0 10 18 28 30 36 60 106 108 154 178 184 186 196 204 214	783285880706