Prime p₀= 967356107880896471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 10 2 58 2 136 2 82 2 (?)
a_n: 0 2 6 8 36 38 48 50 108 110 246 248 330 332
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: 332
Found by: Conan
db: batch=76, k=14, 4 28 10 58 136 82

SPT(16)	967355038302693263	0 6 20 44 54 98 110 116 138 144 156 200 210 234 248 254	-1069578203208
SPT(16)	967355160112894169	0 8 12 14 24 30 60 68 84 92 122 128 138 140 144 152	-947768002302
STPT(10)	967355178873005537	0 2 24 26 42 44 60 62 84 86	-929007890934
TPT(14)	967355287236651191	0 2 48 50 126 128 138 140 228 230 240 242 390 392	-820644245280
STPT(10)	967355936876232269	0 2 42 44 60 62 78 80 120 122	-171004664202
STPT(10)	967356093706066679	0 2 18 20 30 32 42 44 60 62	-14174829792
STPT(10)	967356119361930827	0 2 12 14 42 44 72 74 84 86	11481034356
SPT(16)	967356183970126273	0 4 96 100 114 130 204 226 234 256 330 346 360 364 456 460	76089229802
SPT(13)	967356405246817081	0 12 18 42 150 192 210 228 270 378 402 408 420	297365920610
TPT(14)	967356584850574031	0 2 126 128 150 152 180 182 198 200 240 242 318 320	476969677560
STPT(10)	967356664102118627	0 2 30 32 42 44 54 56 84 86	556221222156