Prime p₀= 2184575808822563081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 34 2 28 2 58 2 40 2 106 2 (?)
a_n: 0 2 120 122 156 158 186 188 246 248 288 290 396 398
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: 398
Found by: Rantanplan
db: batch=81, k=14, 118 34 28 58 40 106

SPT(16)	2184575432022041837	0 62 84 114 120 132 182 210 344 372 422 434 440 470 492 554	-376800521244
SPT(16)	2184575628022366673	0 14 50 54 84 90 138 146 168 176 224 230 260 264 300 314	-180800196408
STPT(12)	2184575628221925089	0 2 90 92 132 134 138 140 180 182 270 272	-180600637992
STPT(12)	2184575705913414419	0 2 72 74 102 104 138 140 168 170 240 242	-102909148662
SPT(16)	2184575748300423713	0 6 44 48 50 54 78 110 114 146 170 174 176 180 218 224	-60522139368
STPT(10)	2184575779161875369	0 2 48 50 90 92 132 134 180 182	-29660687712
SPT(16)	2184576546831024679	0 54 60 78 114 138 168 198 214 244 274 298 334 352 358 412	738008461598
STPT(10)	2184576624754828061	0 2 6 8 18 20 30 32 36 38	815932264980
STPT(10)	2184576711459373841	0 2 30 32 78 80 126 128 156 158	902636810760
SPT(18)	2184576782328414491	0 30 36 42 50 56 62 78 96 122 140 156 162 168 176 182 188 218	973505851410
SPT(16)	2184576899242559641	0 28 58 112 138 166 178 180 208 210 222 250 276 330 360 388	1090419996560