Prime p₀= 2128135134970545791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 166 2 46 2 118 2 10 2 106 2 (?)
a_n: 0 2 60 62 228 230 276 278 396 398 408 410 516 518
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: 518
Found by: Odd-Rod
db: batch=80, k=14, 58 166 46 118 10 106

TPT(14)	2128133451913755491	0 2 18 20 36 38 60 62 78 80 126 128 168 170	-1683056790300
STPT(10)	2128133745581524799	0 2 18 20 30 32 42 44 60 62	-1389389020992
STPT(10)	2128134358500209489	0 2 78 80 150 152 222 224 300 302	-776470336302
SPT(16)	2128134369990176627	0 24 62 72 80 84 92 102 104 114 122 126 134 144 182 206	-764980369164
SPT(16)	2128134377741528017	0 4 10 24 30 42 54 64 102 112 124 136 142 156 162 166	-757229017774
SPT(16)	2128134486113981717	0 26 56 80 110 152 170 192 224 246 264 306 336 360 390 416	-648856564074
STPT(10)	2128135457156041787	0 2 24 26 42 44 60 62 84 86	322185495996
STPT(10)	2128135524091699061	0 2 36 38 78 80 120 122 156 158	389121153270
SPT(18)	2128135827610379291	0 26 42 66 68 78 108 162 180 188 206 260 290 300 302 326 342 368	692639833500
STPT(10)	2128136102673527081	0 2 36 38 78 80 120 122 156 158	967702981290
SPT(16)	2128136437258832519	0 12 32 38 68 80 110 158 234 282 312 324 354 360 380 392	1302288286728