Prime p₀= 2173868456463203117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 40 2 4 2 10 2 76 2 (?)
a_n: 0 2 60 62 72 74 114 116 120 122 132 134 210 212
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: 212
Found by: Penguin
db: batch=81, k=14, 58 10 40 4 10 76

SPT(16)	2173867152485433043	0 6 48 60 64 70 88 100 204 216 234 240 244 256 298 304	-1303977770074
SPT(16)	2173867405582264823	0 44 98 110 114 138 146 156 158 168 176 200 204 216 270 314	-1050880938294
SPT(16)	2173867524137357747	0 24 62 80 84 86 122 144 152 174 210 212 216 234 272 296	-932325845370
SPT(16)	2173868000764775573	0 14 20 30 38 60 110 144 194 228 278 300 308 318 324 338	-455698427544
STPT(10)	2173868225557868891	0 2 6 8 18 20 30 32 36 38	-230905334226
STPT(10)	2173868417121035441	0 2 30 32 120 122 210 212 240 242	-39342167676
SPT(18)	2173868671225895443	0 60 64 88 94 114 126 154 178 246 270 298 310 330 336 360 364 424	214762692326
STPT(10)	2173868724127196021	0 2 30 32 78 80 126 128 156 158	267663992904
STPT(10)	2173868848465081457	0 2 30 32 42 44 54 56 84 86	392001878340
STPT(10)	2173868904664021727	0 2 30 32 42 44 54 56 84 86	448200818610
STPT(10)	2173869191673278921	0 2 6 8 48 50 90 92 96 98	735210075804