Prime p₀= 2147910359806202219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 70 2 4 2 88 2 28 2 (?)
a_n: 0 2 42 44 60 62 132 134 138 140 228 230 258 260
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: 260
Found by: Landjunge
db: batch=80, k=14, 40 16 70 4 88 28

TPT(14)	2147909120147672669	0 2 102 104 132 134 138 140 282 284 300 302 390 392	-1239658529550
SPT(16)	2147909292085729103	0 24 50 74 96 128 158 200 204 246 276 308 330 354 380 404	-1067720473116
STPT(10)	2147909347828161947	0 2 30 32 42 44 54 56 84 86	-1011978040272
STPT(10)	2147909585532170429	0 2 12 14 30 32 48 50 60 62	-774274031790
STPT(10)	2147909925813018119	0 2 18 20 30 32 42 44 60 62	-433993184100
STPT(10)	2147910298627092047	0 2 42 44 72 74 102 104 144 146	-61179110172
SPT(16)	2147910555993646637	0 12 30 44 56 72 74 140 216 282 284 300 312 326 344 356	196187444418
SPT(16)	2147910643940654563	0 48 60 64 78 130 138 154 180 196 204 256 270 274 286 334	284134452344
SPT(16)	2147910680110450757	0 12 24 42 54 62 90 102 104 116 144 152 164 182 194 206	320304248538
SPT(16)	2147910771073019009	0 2 14 50 72 84 92 102 110 120 128 140 162 198 210 212	411266816790
SPT(16)	2147911654567744537	0 10 40 84 90 112 114 124 150 160 162 184 190 234 264 274	1294761542318