Prime p₀= 2487141279855543401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 28 2 10 2 130 2 46 2 (?)
a_n: 0 2 60 62 96 98 126 128 138 140 270 272 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 58 34 28 10 130 46

SPT(16)	2487140101815788011	0 46 82 120 162 186 196 238 270 312 322 346 388 426 462 508	-1178039755390
STPT(10)	2487140158926879689	0 2 48 50 60 62 72 74 120 122	-1120928663712
STPT(10)	2487140185129033037	0 2 90 92 102 104 114 116 204 206	-1094726510364
SPT(16)	2487140639694764491	0 16 22 60 70 100 102 106 126 130 132 162 172 210 216 232	-640160778910
SPT(16)	2487140889764094679	0 10 24 40 52 58 82 114 118 150 174 180 192 208 222 232	-390091448722
SPT(16)	2487141092864422903	0 16 18 30 60 76 84 90 94 100 108 124 154 166 168 184	-186991120498
SPT(16)	2487141308676005057	0 6 74 104 114 150 156 170 186 200 206 242 252 282 350 356	28820461656
STPT(10)	2487141424547946371	0 2 6 8 18 20 30 32 36 38	144692402970
STPT(10)	2487141475694811029	0 2 48 50 90 92 132 134 180 182	195839267628
STPT(10)	2487141663919505741	0 2 30 32 78 80 126 128 156 158	384063962340
STPT(10)	2487141800467172267	0 2 42 44 72 74 102 104 144 146	520611628866